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100221411322323 = 3331472792532601
BaseRepresentation
bin10110110010011010011101…
…100111101110100111010011
3111010212001222110210002022000
4112302122131213232213103
5101114011422244303243
6553053025235445043
730052521000263424
oct2662323547564723
9433761873702260
10100221411322323
1129a2a730a19785
12b2a76b7a56783
1343bcab9353bc5
141aa6a567d764b
15b8bec783e5d3
hex5b269d9ee9d3

100221411322323 has 32 divisors (see below), whose sum is σ = 153269020876800. Its totient is φ = 64657581912000.

The previous prime is 100221411322321. The next prime is 100221411322343. The reversal of 100221411322323 is 323223114122001.

100221411322323 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 1 + 4 + 11 + 322 + 323 = 666.

It is not a de Polignac number, because 100221411322323 - 21 = 100221411322321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100221411322321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38306223 + ... + 40838823.

It is an arithmetic number, because the mean of its divisors is an integer number (4789656902400).

Almost surely, 2100221411322323 is an apocalyptic number.

100221411322323 is a deficient number, since it is larger than the sum of its proper divisors (53047609554477).

100221411322323 is a wasteful number, since it uses less digits than its factorization.

100221411322323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579920 (or 2579914 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100221411322323 its reverse (323223114122001), we get a palindrome (423444525444324).

The spelling of 100221411322323 in words is "one hundred trillion, two hundred twenty-one billion, four hundred eleven million, three hundred twenty-two thousand, three hundred twenty-three".

Divisors: 1 3 9 27 31 93 279 837 47279 141837 425511 1276533 1465649 2532601 4396947 7597803 13190841 22793409 39572523 68380227 78510631 235531893 706595679 2119787037 119738842679 359216528037 1077649584111 3232948752333 3711904123049 11135712369147 33407137107441 100221411322323