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11110020200010 = 2345331283314627
BaseRepresentation
bin1010000110101100000011…
…0011101011011001001010
31110100002220102001220220000
42201223000303223121022
52424011310132400020
635343512310143430
72224446441355044
oct241530063533112
943302812056800
1011110020200010
1135a3807846646
1212b5243351b76
13627893b74414
142a5a292d6a94
15143ee5442090
hexa1ac0ceb64a

11110020200010 has 160 divisors (see below), whose sum is σ = 29976488448192. Its totient is φ = 2952476904960.

The previous prime is 11110020200009. The next prime is 11110020200011. The reversal of 11110020200010 is 1000202001111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11110020200009) and next prime (11110020200011).

It is a super-3 number, since 3×111100202000103 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11110020199965 and 11110020200001.

It is not an unprimeable number, because it can be changed into a prime (11110020200011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 759548317 + ... + 759562943.

Almost surely, 211110020200010 is an apocalyptic number.

11110020200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110020200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988244224096).

11110020200010 is an abundant number, since it is smaller than the sum of its proper divisors (18866468248182).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11110020200010 is a wasteful number, since it uses less digits than its factorization.

11110020200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17810 (or 17801 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11110020200010 its reverse (1000202001111), we get a palindrome (12110222201121).

The spelling of 11110020200010 in words is "eleven trillion, one hundred ten billion, twenty million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 331 405 662 810 993 1655 1986 2833 2979 3310 4965 5666 5958 8499 8937 9930 14165 14627 14895 16998 17874 25497 26811 28330 29254 29790 42495 43881 44685 50994 53622 73135 76491 84990 87762 89370 127485 131643 134055 146270 152982 219405 229473 254970 263286 268110 382455 394929 438810 458946 658215 764910 789858 937723 1147365 1184787 1316430 1875446 1974645 2294730 2369574 2813169 3949290 4688615 4841537 5626338 5923935 8439507 9377230 9683074 11847870 14065845 14524611 16879014 24207685 25318521 28131690 29049222 41438291 42197535 43573833 48415370 50637042 72623055 75955563 82876582 84395070 87147666 124314873 126592605 130721499 145246110 151911126 207191455 217869165 248629746 253185210 261442998 372944619 379777815 392164497 414382910 435738330 621574365 653607495 745889238 759555630 784328994 1118833857 1243148730 1307214990 1864723095 1960822485 2237667714 3356501571 3729446190 3921644970 5594169285 6713003142 11188338570 13716074321 16782507855 27432148642 33565015710 41148222963 68580371605 82296445926 123444668889 137160743210 205741114815 246889337778 370334006667 411482229630 617223344445 740668013334 1111002020001 1234446688890 1851670033335 2222004040002 3703340066670 5555010100005 11110020200010