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105670372212 = 223211299259783
BaseRepresentation
bin110001001101001110…
…0011110101101110100
3101002202100110002121100
41202122130132231310
53212403103402322
6120313322450100
710430416225626
oct1423234365564
9332670402540
10105670372212
11408a6196729
1218590963930
139c70505c82
145186186c16
152b36e5edac
hex189a71eb74

105670372212 has 36 divisors (see below), whose sum is σ = 267135887200. Its totient is φ = 35220204432.

The previous prime is 105670372201. The next prime is 105670372219. The reversal of 105670372212 is 212273076501.

105670372212 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 70 + 372 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1056703722122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105670372219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276873 + ... + 536655.

Almost surely, 2105670372212 is an apocalyptic number.

105670372212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105670372212 is an abundant number, since it is smaller than the sum of its proper divisors (161465514988).

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

105670372212 is a wasteful number, since it uses less digits than its factorization.

105670372212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271092 (or 271087 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 105670372212 in words is "one hundred five billion, six hundred seventy million, three hundred seventy-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 11299 22598 33897 45196 67794 101691 135588 203382 259783 406764 519566 779349 1039132 1558698 2338047 3117396 4676094 9352188 2935288117 5870576234 8805864351 11741152468 17611728702 26417593053 35223457404 52835186106 105670372212