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23233101093 = 3229308928817
BaseRepresentation
bin10101101000110011…
…001111110100100101
32012222011011211011200
4111220303033310211
5340040133213333
614401221553113
71451511046416
oct255063176445
965864154150
1023233101093
1199425307a4
124604875799
132263465ac7
1411a584980d
1590ea06c13
hex568ccfd25

23233101093 has 24 divisors (see below), whose sum is σ = 34728571800. Its totient is φ = 14949279744.

The previous prime is 23233101079. The next prime is 23233101137. The reversal of 23233101093 is 39010133232.

23233101093 is a `hidden beast` number, since 232 + 331 + 0 + 10 + 93 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15404036769 + 7829064324 = 124113^2 + 88482^2 .

It is not a de Polignac number, because 23233101093 - 24 = 23233101077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233103093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791821 + ... + 820637.

It is an arithmetic number, because the mean of its divisors is an integer number (1447023825).

Almost surely, 223233101093 is an apocalyptic number.

It is an amenable number.

23233101093 is a deficient number, since it is larger than the sum of its proper divisors (11495470707).

23233101093 is a wasteful number, since it uses less digits than its factorization.

23233101093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31941 (or 31938 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 23233101093 in words is "twenty-three billion, two hundred thirty-three million, one hundred one thousand, ninety-three".

Divisors: 1 3 9 29 87 261 3089 9267 27801 28817 86451 89581 259353 268743 806229 835693 2507079 7521237 89015713 267047139 801141417 2581455677 7744367031 23233101093