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10035124684 = 22132171078161
BaseRepresentation
bin10010101100010001…
…11101100111001100
3221220100212011010121
421112020331213030
5131022442442214
64335435314324
7503452103164
oct112610754714
927810764117
1010035124684
11428a625782
121b408ab9a4
13c3c067c00
146b2aa75a4
153daeea424
hex25623d9cc

10035124684 has 72 divisors (see below), whose sum is σ = 20325534768. Its totient is φ = 4317880320.

The previous prime is 10035124663. The next prime is 10035124691. The reversal of 10035124684 is 48642153001.

10035124684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100351246843 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225564 + ... + 1233724.

It is an arithmetic number, because the mean of its divisors is an integer number (282299094).

Almost surely, 210035124684 is an apocalyptic number.

It is an amenable number.

10035124684 is an abundant number, since it is smaller than the sum of its proper divisors (10290410084).

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

10035124684 is a wasteful number, since it uses less digits than its factorization.

10035124684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8300 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 10035124684 its reverse (48642153001), we get a palindrome (58677277685).

The spelling of 10035124684 in words is "ten billion, thirty-five million, one hundred twenty-four thousand, six hundred eighty-four".

Divisors: 1 2 4 13 17 26 34 52 68 107 169 214 221 338 428 442 676 884 1391 1819 2782 2873 3638 5564 5746 7276 8161 11492 16322 18083 23647 32644 36166 47294 72332 94588 106093 138737 212186 277474 307411 424372 554948 614822 873227 1229644 1379209 1746454 1803581 2758418 3492908 3607162 5516836 7214324 11351951 14844859 22703902 23446553 29689718 45407804 46893106 59379436 93786212 147575363 192983167 295150726 385966334 590301452 771932668 2508781171 5017562342 10035124684