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102210212112 = 243191091028189
BaseRepresentation
bin101111100110000110…
…1000001000100010000
3100202211012112202021120
41133030031001010100
53133311303241422
6114542115322240
710245602316411
oct1371415010420
9322735482246
10102210212112
113a390000188
1217985bb0380
13983b6a8368
144d387d9808
1529d32c245c
hex17cc341110

102210212112 has 80 divisors (see below), whose sum is σ = 280490232000. Its totient is φ = 31980759552.

The previous prime is 102210212077. The next prime is 102210212129. The reversal of 102210212112 is 211212012201.

It is a junction number, because it is equal to n+sod(n) for n = 102210212091 and 102210212100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414687 + ... + 613502.

It is an arithmetic number, because the mean of its divisors is an integer number (3506127900).

Almost surely, 2102210212112 is an apocalyptic number.

102210212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102210212112 is an abundant number, since it is smaller than the sum of its proper divisors (178280019888).

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

102210212112 is a wasteful number, since it uses less digits than its factorization.

102210212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028328 (or 1028322 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102210212112 its reverse (211212012201), we get a palindrome (313422224313).

The spelling of 102210212112 in words is "one hundred two billion, two hundred ten million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 109 114 152 218 228 304 327 436 456 654 872 912 1308 1744 2071 2616 4142 5232 6213 8284 12426 16568 24852 33136 49704 99408 1028189 2056378 3084567 4112756 6169134 8225512 12338268 16451024 19535591 24676536 39071182 49353072 58606773 78142364 112072601 117213546 156284728 224145202 234427092 312569456 336217803 448290404 468854184 672435606 896580808 937708368 1344871212 1793161616 2129379419 2689742424 4258758838 5379484848 6388138257 8517517676 12776276514 17035035352 25552553028 34070070704 51105106056 102210212112