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13005022212 = 22327133969787
BaseRepresentation
bin11000001110010100…
…01110010000000100
31020120100020120122100
430013022032100010
5203113241202322
65550250432100
7640163602440
oct140712162004
936510216570
1013005022212
115573aa5746
12262b432630
1312c343c920
148b52b5820
15511ae4dac
hex30728e404

13005022212 has 72 divisors (see below), whose sum is σ = 40460079296. Its totient is φ = 3429895104.

The previous prime is 13005022201. The next prime is 13005022223. The reversal of 13005022212 is 21222050031.

13005022212 is a `hidden beast` number, since 130 + 0 + 502 + 22 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (13005022201) and next prime (13005022223).

It is a super-2 number, since 2×130050222122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981618 + ... + 1988169.

Almost surely, 213005022212 is an apocalyptic number.

13005022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13005022212 is an abundant number, since it is smaller than the sum of its proper divisors (27455057084).

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

13005022212 is a wasteful number, since it uses less digits than its factorization.

13005022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969817 (or 3969812 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13005022212 its reverse (21222050031), we get a palindrome (34227072243).

The spelling of 13005022212 in words is "thirteen billion, five million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 3969787 7939574 11909361 15879148 23818722 27788509 35728083 47637444 51607231 55577018 71456166 83365527 103214462 111154036 142912332 154821693 166731054 206428924 250096581 309643386 333462108 361250617 464465079 500193162 619286772 722501234 928930158 1000386324 1083751851 1445002468 1857860316 2167503702 3251255553 4335007404 6502511106 13005022212