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100230122201121 = 321122923918498209
BaseRepresentation
bin10110110010100010100100…
…110101000110000000100001
3111010212220110112211120120200
4112302202210311012000201
5101114132242240413441
6553101025452055413
730053246602444503
oct2662424465060041
9433786415746520
10100230122201121
1129a333a0a96970
12b2a9329164569
1343c0876c44c63
141aa724166bd73
15b8c33745a7b6
hex5b28a4d46021

100230122201121 has 48 divisors (see below), whose sum is σ = 159291785952000. Its totient is φ = 60227205534720.

The previous prime is 100230122201057. The next prime is 100230122201149. The reversal of 100230122201121 is 121102221032001.

100230122201121 is a `hidden beast` number, since 100 + 230 + 1 + 2 + 220 + 112 + 1 = 666.

It is not a de Polignac number, because 100230122201121 - 26 = 100230122201057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100230122201094 and 100230122201103.

It is not an unprimeable number, because it can be changed into a prime (100230122301121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3830736 + ... + 14667473.

It is an arithmetic number, because the mean of its divisors is an integer number (3318578874000).

Almost surely, 2100230122201121 is an apocalyptic number.

100230122201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100230122201121 is a deficient number, since it is larger than the sum of its proper divisors (59061663750879).

100230122201121 is a wasteful number, since it uses less digits than its factorization.

100230122201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18498694 (or 18498691 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100230122201121 its reverse (121102221032001), we get a palindrome (221332343233122).

The spelling of 100230122201121 in words is "one hundred trillion, two hundred thirty billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 229 239 687 717 2061 2151 2519 2629 7557 7887 22671 23661 54731 164193 492579 602041 1806123 5418369 18498209 55494627 166483881 203480299 610440897 1831322691 4236089861 4421071951 12708269583 13263215853 38124808749 39789647559 46596988471 48631791461 139790965413 145895374383 419372896239 437686123149 1012425476779 3037276430337 9111829291011 11136680244569 33410040733707 100230122201121