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100403003200401 = 33111309925807867
BaseRepresentation
bin10110110101000011100101…
…010101110001001110010001
3111011111102200220221021202000
4112311003211111301032101
5101130000322304403101
6553312300343544213
730101610005625456
oct2665034525611621
9434442626837660
10100403003200401
1129a9a746895480
12b31693675b069
134403c68a19435
141ab1761bb182d
15b91aa4b90486
hex5b50e5571391

100403003200401 has 32 divisors (see below), whose sum is σ = 162279873984000. Its totient is φ = 60845657196240.

The previous prime is 100403003200393. The next prime is 100403003200457. The reversal of 100403003200401 is 104002300304001.

100403003200401 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 300 + 320 + 0 + 40 + 1 = 666.

It is not a de Polignac number, because 100403003200401 - 23 = 100403003200393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100403003208401) 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, 9013531 + ... + 16794336.

It is an arithmetic number, because the mean of its divisors is an integer number (5071246062000).

Almost surely, 2100403003200401 is an apocalyptic number.

100403003200401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100403003200401 is a deficient number, since it is larger than the sum of its proper divisors (61876870783599).

100403003200401 is a wasteful number, since it uses less digits than its factorization.

100403003200401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25820986 (or 25820980 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100403003200401 its reverse (104002300304001), we get a palindrome (204405303504402).

The spelling of 100403003200401 in words is "one hundred trillion, four hundred three billion, three million, two hundred thousand, four hundred one".

Divisors: 1 3 9 11 27 33 99 297 13099 39297 117891 144089 353673 432267 1296801 3890403 25807867 77423601 232270803 283886537 696812409 851659611 2554978833 7664936499 338057249833 1014171749499 3042515248497 3718629748163 9127545745491 11155889244489 33467667733467 100403003200401