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100011111112 = 2311173231323
BaseRepresentation
bin101110100100100100…
…0000111001011001000
3100120010221112211211101
41131021020013023020
53114310321023422
6113540001111144
710140240263263
oct1351110071310
9316127484741
10100011111112
1139461735040
12174716284b4
13957abccc73
144baa713cda
1529051d1c27
hex17492072c8

100011111112 has 64 divisors (see below), whose sum is σ = 217352030400. Its totient is φ = 42785317120.

The previous prime is 100011111103. The next prime is 100011111131. The reversal of 100011111112 is 211111110001.

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, 316683 + ... + 548005.

It is an arithmetic number, because the mean of its divisors is an integer number (3396125475).

Almost surely, 2100011111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108676015200).

100011111112 is an abundant number, since it is smaller than the sum of its proper divisors (117340919288).

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

100011111112 is a wasteful number, since it uses less digits than its factorization.

100011111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231391 (or 231353 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100011111112 its reverse (211111110001), we get a palindrome (311122221113).

The spelling of 100011111112 in words is "one hundred billion, eleven million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 289 374 578 748 1156 1496 2312 3179 4913 6358 9826 12716 19652 25432 39304 54043 108086 216172 231323 432344 462646 925292 1850584 2544553 3932491 5089106 7864982 10178212 15729964 20356424 31459928 43257401 66852347 86514802 133704694 173029604 267409388 346059208 534818776 735375817 1136489899 1470751634 2272979798 2941503268 4545959596 5883006536 9091919192 12501388889 25002777778 50005555556 100011111112