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34134013023 = 31117411484023
BaseRepresentation
bin11111110010100010…
…111011010001011111
310021002212011112010120
4133302202323101133
51024401301404043
623403030210023
72315605215645
oct376242732137
9107085145116
1034134013023
1113526840220
1267474b3913
1332ac9a8a56
14191b4c5195
15d4ba21983
hex7f28bb45f

34134013023 has 32 divisors (see below), whose sum is σ = 53852262912. Its totient is φ = 18995481600.

The previous prime is 34134013013. The next prime is 34134013031. The reversal of 34134013023 is 32031043143.

It is not a de Polignac number, because 34134013023 - 26 = 34134012959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34134012984 and 34134013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134013013) 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, 719011 + ... + 765012.

It is an arithmetic number, because the mean of its divisors is an integer number (1682883216).

Almost surely, 234134013023 is an apocalyptic number.

34134013023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34134013023 is a deficient number, since it is larger than the sum of its proper divisors (19718249889).

34134013023 is a wasteful number, since it uses less digits than its factorization.

34134013023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484095.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34134013023 its reverse (32031043143), we get a palindrome (66165056166).

The spelling of 34134013023 in words is "thirty-four billion, one hundred thirty-four million, thirteen thousand, twenty-three".

Divisors: 1 3 11 17 33 41 51 123 187 451 561 697 1353 2091 7667 23001 1484023 4452069 16324253 25228391 48972759 60844943 75685173 182534829 277512301 669294373 832536903 1034364031 2007883119 3103092093 11378004341 34134013023