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12023111100100 = 22521072857393299
BaseRepresentation
bin1010111011110101100101…
…0001000010011011000100
31120120101202021200122001211
42232331121101002123010
53033441312420200400
641323201353101204
72350432621065052
oct256753121023304
946511667618054
1012023111100100
113915a77857431
1214221ab6b7804
13692a0b7aaa49
142d7cc914b1d2
1515cb36d78dba
hexaef594426c4

12023111100100 has 72 divisors (see below), whose sum is σ = 26343268610400. Its totient is φ = 4762618533120.

The previous prime is 12023111100059. The next prime is 12023111100103. The reversal of 12023111100100 is 100111132021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12023111100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30373251 + ... + 30766549.

It is an arithmetic number, because the mean of its divisors is an integer number (365878730700).

Almost surely, 212023111100100 is an apocalyptic number.

12023111100100 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 12023111100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171634305200).

12023111100100 is an abundant number, since it is smaller than the sum of its proper divisors (14320157510300).

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

12023111100100 is a wasteful number, since it uses less digits than its factorization.

12023111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396277 (or 396270 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12023111100100 its reverse (100111132021), we get a palindrome (12123222232121).

The spelling of 12023111100100 in words is "twelve trillion, twenty-three billion, one hundred eleven million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 535 1070 2140 2675 2857 5350 5714 10700 11428 14285 28570 57140 71425 142850 285700 305699 393299 611398 786598 1222796 1528495 1573196 1966495 3056990 3932990 6113980 7642475 7865980 9832475 15284950 19664950 30569900 39329900 42082993 84165986 168331972 210414965 420829930 841659860 1052074825 1123655243 2104149650 2247310486 4208299300 4494620972 5618276215 11236552430 22473104860 28091381075 56182762150 112365524300 120231111001 240462222002 480924444004 601155555005 1202311110010 2404622220020 3005777775025 6011555550050 12023111100100