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34131430102 = 272111911314747
BaseRepresentation
bin11111110010011001…
…000100101011010110
310021002200022022000211
4133302121010223112
51024400121230402
623402455000034
72315544240400
oct376231045326
9107080268024
1034131430102
1113525336680
12674666901a
1332ac2b31b3
14191b011b70
15d4b6b14d7
hex7f2644ad6

34131430102 has 96 divisors (see below), whose sum is σ = 68999402880. Its totient is φ = 12485733120.

The previous prime is 34131430087. The next prime is 34131430103. The reversal of 34131430102 is 20103413143.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131430103) 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 47 ways as a sum of consecutive naturals, for example, 2307093 + ... + 2321839.

It is an arithmetic number, because the mean of its divisors is an integer number (718743780).

Almost surely, 234131430102 is an apocalyptic number.

34131430102 is an abundant number, since it is smaller than the sum of its proper divisors (34867972778).

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

34131430102 is a wasteful number, since it uses less digits than its factorization.

34131430102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14906 (or 14899 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 34131430102 its reverse (20103413143), we get a palindrome (54234843245).

The spelling of 34131430102 in words is "thirty-four billion, one hundred thirty-one million, four hundred thirty thousand, one hundred two".

Divisors: 1 2 7 11 14 19 22 38 49 77 98 113 133 154 209 226 266 418 539 791 931 1078 1243 1463 1582 1862 2147 2486 2926 4294 5537 8701 10241 11074 14747 15029 17402 20482 23617 29494 30058 47234 60907 103229 105203 121814 162217 165319 206458 210406 280193 324434 330638 560386 722603 1135519 1157233 1445206 1666411 1961351 2271038 2314466 3082123 3332822 3922702 6164246 7948633 11664877 13729457 15897266 18330521 21574861 23329754 27458914 31661809 36661042 43149722 63323618 81654139 128313647 151024027 163308278 221632663 256627294 302048054 348279899 443265326 696559798 898195529 1551428641 1796391058 2437959293 3102857282 4875918586 17065715051 34131430102