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112100196 = 223132971349
BaseRepresentation
bin1101010111010…
…00001101100100
321210221021120010
412223220031210
5212144201241
615042410220
72530556505
oct653501544
9253837503
10112100196
115830659a
1231660970
131a2bc2a0
1410c60bac
159c94d16
hex6ae8364

112100196 has 96 divisors (see below), whose sum is σ = 296352000. Its totient is φ = 32739840.

The previous prime is 112100189. The next prime is 112100201. The reversal of 112100196 is 691001211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321030 + ... + 321378.

It is an arithmetic number, because the mean of its divisors is an integer number (3087000).

Almost surely, 2112100196 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 112100196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148176000).

112100196 is an abundant number, since it is smaller than the sum of its proper divisors (184251804).

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

112100196 is a wasteful number, since it uses less digits than its factorization.

112100196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 112100196 is about 10587.7380020475. The cubic root of 112100196 is about 482.1721520244.

The spelling of 112100196 in words is "one hundred twelve million, one hundred thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 71 78 87 116 142 156 174 213 284 348 349 377 426 698 754 852 923 1047 1131 1396 1508 1846 2059 2094 2262 2769 3692 4118 4188 4524 4537 5538 6177 8236 9074 10121 11076 12354 13611 18148 20242 24708 24779 26767 27222 30363 40484 49558 53534 54444 60726 74337 80301 99116 107068 121452 131573 148674 160602 263146 297348 321204 322127 394719 526292 644254 718591 789438 966381 1288508 1437182 1578876 1932762 2155773 2874364 3865524 4311546 8623092 9341683 18683366 28025049 37366732 56050098 112100196