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10534110345 = 345113763907
BaseRepresentation
bin10011100111110000…
…11100010010001001
31000012010210020210000
421303320130102021
5133033213012340
64501142313213
7522021313653
oct116370342211
930163706700
1010534110345
11451625a020
12205ba28809
13cbb5563b5
1471d0776d3
15419c12d30
hex273e1c489

10534110345 has 80 divisors (see below), whose sum is σ = 21157126848. Its totient is φ = 4969330560.

The previous prime is 10534110319. The next prime is 10534110371. The reversal of 10534110345 is 54301143501.

It is a happy number.

10534110345 is a `hidden beast` number, since 10 + 534 + 110 + 3 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10534110319) and next prime (10534110371).

It is not a de Polignac number, because 10534110345 - 26 = 10534110281 is a prime.

It is a super-2 number, since 2×105341103452 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132882 + ... + 196788.

Almost surely, 210534110345 is an apocalyptic number.

10534110345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10534110345 is an abundant number, since it is smaller than the sum of its proper divisors (10623016503).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10534110345 is a wasteful number, since it uses less digits than its factorization.

10534110345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63972 (or 63963 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10534110345 its reverse (54301143501), we get a palindrome (64835253846).

The spelling of 10534110345 in words is "ten billion, five hundred thirty-four million, one hundred ten thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 81 99 111 135 165 185 297 333 405 407 495 555 891 999 1221 1485 1665 2035 2997 3663 4455 4995 6105 10989 14985 18315 32967 54945 63907 164835 191721 319535 575163 702977 958605 1725489 2108931 2364559 2875815 3514885 5176467 6326793 7093677 8627445 10544655 11822795 18980379 21281031 25882335 26010149 31633965 35468385 56941137 63843093 78030447 94901895 106405155 130050745 191529279 234091341 284705685 319215465 390152235 702274023 957646395 1170456705 2106822069 3511370115 10534110345