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11101001200120 = 23513223112984793
BaseRepresentation
bin1010000110001010011100…
…1110111011000111111000
31110022020121212020020221001
42201202213032323013320
52423334322301400440
635335421325454344
72224010105211526
oct241424716730770
943266555206831
1011101001200120
11359a9a9858527
1212b3546a113b4
13626a874a0cb0
142a5411577316
15143b68760b9a
hexa18a73bb1f8

11101001200120 has 128 divisors (see below), whose sum is σ = 27043452172800. Its totient is φ = 4076788506624.

The previous prime is 11101001200039. The next prime is 11101001200123. The reversal of 11101001200120 is 2100210010111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11101001200097 and 11101001200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101001200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130876444 + ... + 130961236.

It is an arithmetic number, because the mean of its divisors is an integer number (211276970100).

Almost surely, 211101001200120 is an apocalyptic number.

11101001200120 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 11101001200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521726086400).

11101001200120 is an abundant number, since it is smaller than the sum of its proper divisors (15942450972680).

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

11101001200120 is a wasteful number, since it uses less digits than its factorization.

11101001200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86169 (or 86165 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11101001200120 its reverse (2100210010111), we get a palindrome (13201211210231).

The spelling of 11101001200120 in words is "eleven trillion, one hundred one billion, one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 223 260 446 520 892 1115 1129 1784 2230 2258 2899 4460 4516 5645 5798 8920 9032 11290 11596 14495 14677 22580 23192 28990 29354 45160 57980 58708 73385 84793 115960 117416 146770 169586 251767 293540 339172 423965 503534 587080 678344 847930 1007068 1102309 1258835 1695860 2014136 2204618 2517670 3272971 3391720 4409236 5035340 5511545 6545942 8818472 10070680 11023090 13091884 16364855 18908839 22046180 26183768 32729710 37817678 44092360 65459420 75635356 94544195 95731297 130918840 151270712 189088390 191462594 245814907 378176780 382925188 478656485 491629814 756353560 765850376 957312970 983259628 1229074535 1244506861 1914625940 1966519256 2458149070 2489013722 3829251880 4916298140 4978027444 6222534305 9832596280 9956054888 12445068610 21348079231 24890137220 42696158462 49780274440 85392316924 106740396155 170784633848 213480792310 277525030003 426961584620 555050060006 853923169240 1110100120012 1387625150015 2220200240024 2775250300030 5550500600060 11101001200120