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10118034108 = 22337213147073
BaseRepresentation
bin10010110110001010…
…01111001010111100
3222010010212101111000
421123011033022330
5131210204042413
64352000330300
7505506604500
oct113305171274
928103771430
1010118034108
114322403866
121b64613990
13c532a6640
146bdaca300
153e3426073
hex25b14f2bc

10118034108 has 144 divisors (see below), whose sum is σ = 32862214560. Its totient is φ = 2668474368.

The previous prime is 10118034061. The next prime is 10118034163. The reversal of 10118034108 is 80143081101.

It is a super-2 number, since 2×101180341082 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4741 + ... + 142332.

Almost surely, 210118034108 is an apocalyptic number.

10118034108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10118034108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16431107280).

10118034108 is an abundant number, since it is smaller than the sum of its proper divisors (22744180452).

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

10118034108 is a wasteful number, since it uses less digits than its factorization.

10118034108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147113 (or 147098 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 10118034108 in words is "ten billion, one hundred eighteen million, thirty-four thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 34398 68796 147073 294146 441219 588292 882438 1029511 1323657 1764876 1911949 2059022 2647314 3088533 3823898 3970971 4118044 5294628 5735847 6177066 7206577 7647796 7941942 9265599 11471694 12354132 13383643 14413154 15883884 17207541 18531198 21619731 22943388 26767286 27796797 28826308 34415082 37062396 40150929 43239462 51622623 53534572 55593594 64859193 68830164 80301858 86478924 93685501 103245246 111187188 120452787 129718386 160603716 187371002 194577579 206490492 240905574 259436772 281056503 361358361 374742004 389155158 481811148 562113006 722716722 778310316 843169509 1124226012 1445433444 1686339018 2529508527 3372678036 5059017054 10118034108