Search a number
-
+
102212110023300 = 223252831368301339
BaseRepresentation
bin10111001111011000011100…
…100000100111101010000100
3111101220101022200120222200200
4113033120130200213222010
5101344120400131221200
61001215332313410500
730346403241120564
oct2717303440475204
9441811280528620
10102212110023300
112a627a04497982
12b569484a09a30
1345057398a3b34
141b35141c40da4
15bc3b88e76800
hex5cf61c827a84

102212110023300 has 108 divisors (see below), whose sum is σ = 324238158731760. Its totient is φ = 26928170331840.

The previous prime is 102212110023259. The next prime is 102212110023431. The reversal of 102212110023300 is 3320011212201.

102212110023300 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 110 + 0 + 2 + 330 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 684075970 + ... + 684225369.

Almost surely, 2102212110023300 is an apocalyptic number.

102212110023300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212110023300 is an abundant number, since it is smaller than the sum of its proper divisors (222026048708460).

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

102212110023300 is a wasteful number, since it uses less digits than its factorization.

102212110023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368301442 (or 1368301432 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102212110023300 its reverse (3320011212201), we get a palindrome (105532121235501).

The spelling of 102212110023300 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 83 90 100 150 166 180 225 249 300 332 415 450 498 747 830 900 996 1245 1494 1660 2075 2490 2988 3735 4150 4980 6225 7470 8300 12450 14940 18675 24900 37350 74700 1368301339 2736602678 4104904017 5473205356 6841506695 8209808034 12314712051 13683013390 16419616068 20524520085 24629424102 27366026780 34207533475 41049040170 49258848204 61573560255 68415066950 82098080340 102622600425 113569011137 123147120510 136830133900 205245200850 227138022274 246294241020 307867801275 340707033411 410490401700 454276044548 567845055685 615735602550 681414066822 1022121100233 1135690111370 1231471205100 1362828133644 1703535167055 2044242200466 2271380222740 2839225278425 3407070334110 4088484400932 5110605501165 5678450556850 6814140668220 8517675835275 10221211002330 11356901113700 17035351670550 20442422004660 25553027505825 34070703341100 51106055011650 102212110023300