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10434551023 = 1317593492293
BaseRepresentation
bin10011011011111001…
…01001110011101111
3222221012110010001201
421231330221303233
5132332221113043
64443224350331
7516402135361
oct115574516357
928835403051
1010434551023
114475039696
1220326153a7
13ca3a38360
1470db5cd31
154110e8c4d
hex26df29cef

10434551023 has 32 divisors (see below), whose sum is σ = 12139848000. Its totient is φ = 8882251776.

The previous prime is 10434550979. The next prime is 10434551033. The reversal of 10434551023 is 32015543401.

10434551023 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10434551023 - 217 = 10434419951 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10434550982 and 10434551000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434551033) 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, 4549465 + ... + 4551757.

It is an arithmetic number, because the mean of its divisors is an integer number (379370250).

Almost surely, 210434551023 is an apocalyptic number.

10434551023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10434551023 is a deficient number, since it is larger than the sum of its proper divisors (1705296977).

10434551023 is a wasteful number, since it uses less digits than its factorization.

10434551023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731.

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 10434551023 in words is "ten billion, four hundred thirty-four million, five hundred fifty-one thousand, twenty-three".

Divisors: 1 13 17 59 221 349 767 1003 2293 4537 5933 13039 20591 29809 38981 77129 135287 267683 350047 506753 800257 1758731 2299879 4550611 10403341 13604369 29898427 47215163 176856797 613797119 802657771 10434551023