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10213302312 = 233428035623
BaseRepresentation
bin10011000001100001…
…01010000000101000
3222100210010111220000
421200300222000220
5131404101133222
64405242303000
7511044431403
oct114060520050
928323114800
1010213302312
114371163214
121b904b7a60
13c69c51465
146cc608d3a
153eb9939ac
hex260c2a028

10213302312 has 80 divisors (see below), whose sum is σ = 28621998240. Its totient is φ = 3402614304.

The previous prime is 10213302311. The next prime is 10213302397. The reversal of 10213302312 is 21320331201.

10213302312 is a `hidden beast` number, since 1 + 0 + 21 + 330 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10213302311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1813533 + ... + 1819155.

It is an arithmetic number, because the mean of its divisors is an integer number (357774978).

Almost surely, 210213302312 is an apocalyptic number.

10213302312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10213302312 is an abundant number, since it is smaller than the sum of its proper divisors (18408695928).

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

10213302312 is a wasteful number, since it uses less digits than its factorization.

10213302312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8444 (or 8431 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10213302312 its reverse (21320331201), we get a palindrome (31533633513).

The spelling of 10213302312 in words is "ten billion, two hundred thirteen million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 2803 5606 5623 8409 11212 11246 16818 16869 22424 22492 25227 33636 33738 44984 50454 50607 67272 67476 75681 100908 101214 134952 151362 151821 201816 202428 227043 302724 303642 404856 454086 455463 605448 607284 908172 910926 1214568 1816344 1821852 3643704 15761269 31522538 47283807 63045076 94567614 126090152 141851421 189135228 283702842 378270456 425554263 567405684 851108526 1134811368 1276662789 1702217052 2553325578 3404434104 5106651156 10213302312