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11100010020 = 22351123734099
BaseRepresentation
bin10100101011001110…
…01011011000100100
31001122120121221012020
422111213023120210
5140213100310040
65033235423140
7542032346151
oct122547133044
931576557166
1011100010020
114786736900
122199454ab0
13107b872888
147742a5228
1544e746cd0
hex2959cb624

11100010020 has 144 divisors (see below), whose sum is σ = 34262289600. Its totient is φ = 2683042560.

The previous prime is 11100009979. The next prime is 11100010087. The reversal of 11100010020 is 2001000111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 11100009990 and 11100010008.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2705931 + ... + 2710029.

Almost surely, 211100010020 is an apocalyptic number.

11100010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17131144800).

11100010020 is an abundant number, since it is smaller than the sum of its proper divisors (23162279580).

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

11100010020 is a wasteful number, since it uses less digits than its factorization.

11100010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11100010020 its reverse (2001000111), we get a palindrome (13101010131).

Subtracting from 11100010020 its reverse (2001000111), we obtain a palindrome (9099009909).

The spelling of 11100010020 in words is "eleven billion, one hundred million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 373 484 605 660 726 746 1119 1210 1452 1492 1815 1865 2238 2420 3630 3730 4099 4103 4476 5595 7260 7460 8198 8206 11190 12297 12309 16396 16412 20495 20515 22380 24594 24618 40990 41030 45089 45133 49188 49236 61485 61545 81980 82060 90178 90266 122970 123090 135267 135399 180356 180532 225445 225665 245940 246180 270534 270798 450890 451330 495979 541068 541596 676335 676995 901780 902660 991958 1352670 1353990 1487937 1528927 1983916 2479895 2705340 2707980 2975874 3057854 4586781 4959790 5951748 6115708 7439685 7644635 9173562 9919580 14879370 15289270 16818197 18347124 22933905 29758740 30578540 33636394 45867810 50454591 67272788 84090985 91735620 100909182 168181970 185000167 201818364 252272955 336363940 370000334 504545910 555000501 740000668 925000835 1009091820 1110001002 1850001670 2220002004 2775002505 3700003340 5550005010 11100010020