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100011210112 = 2711131542219
BaseRepresentation
bin101110100100100100…
…0011111010110000000
3100120010221201212122001
41131021020133112000
53114310332210422
6113540003153344
710140241155022
oct1351110372600
9316127655561
10100011210112
11394617a2460
1217471675854
13957ac36048
144baa73c012
152905201227
hex174921f580

100011210112 has 64 divisors (see below), whose sum is σ = 219013502400. Its totient is φ = 45112537600.

The previous prime is 100011210097. The next prime is 100011210161. The reversal of 100011210112 is 211012110001.

100011210112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1000112101122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86662 + ... + 455557.

It is an arithmetic number, because the mean of its divisors is an integer number (3422085975).

Almost surely, 2100011210112 is an apocalyptic number.

It is an amenable number.

100011210112 is an abundant number, since it is smaller than the sum of its proper divisors (119002292288).

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

100011210112 is a wasteful number, since it uses less digits than its factorization.

100011210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542375 (or 542363 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011210112 its reverse (211012110001), we get a palindrome (311023320113).

The spelling of 100011210112 in words is "one hundred billion, eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 262 352 524 704 1048 1408 1441 2096 2882 4192 5764 8384 11528 16768 23056 46112 92224 184448 542219 1084438 2168876 4337752 5964409 8675504 11928818 17351008 23857636 34702016 47715272 69404032 71030689 95430544 142061378 190861088 284122756 381722176 568245512 763444352 781337579 1136491024 1562675158 2272982048 3125350316 4545964096 6250700632 9091928192 12501401264 25002802528 50005605056 100011210112