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10345723331 = 43475396587
BaseRepresentation
bin10011010001010011…
…10011010111000011
3222201000022012101012
421220221303113003
5132142001121311
64430332431135
7514243124456
oct115051632703
928630265335
1010345723331
114429989079
1220089184ab
13c8b506ba8
1470203949d
154083ee78b
hex268a735c3

10345723331 has 16 divisors (see below), whose sum is σ = 11015668224. Its totient is φ = 9703415904.

The previous prime is 10345723309. The next prime is 10345723369. The reversal of 10345723331 is 13332754301.

10345723331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10345723331 is a prime.

It is a super-2 number, since 2×103457233312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10345723391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58820 + ... + 155406.

It is an arithmetic number, because the mean of its divisors is an integer number (688479264).

Almost surely, 210345723331 is an apocalyptic number.

10345723331 is a deficient number, since it is larger than the sum of its proper divisors (669944893).

10345723331 is an equidigital number, since it uses as much as digits as its factorization.

10345723331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96730.

The product of its (nonzero) digits is 22680, while the sum is 32.

The spelling of 10345723331 in words is "ten billion, three hundred forty-five million, seven hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 43 47 53 2021 2279 2491 96587 107113 4153241 4539589 5119111 195202327 220121773 240598217 10345723331