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106156353132 = 22323598213893
BaseRepresentation
bin110001011011101101…
…0010110011001101100
3101011000012220111002200
41202313122112121230
53214402011300012
6120433443021500
710445440053624
oct1426732263154
9334005814080
10106156353132
1141025548355
12186a766a890
13a01a0c004b
1451d092d884
152b649593dc
hex18b769666c

106156353132 has 36 divisors (see below), whose sum is σ = 269087167440. Its totient is φ = 35286880032.

The previous prime is 106156353091. The next prime is 106156353151. The reversal of 106156353132 is 231353651601.

106156353132 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 635 + 3 + 13 + 2 = 666.

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

It is a super-2 number, since 2×1061563531322 (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4094023 + ... + 4119870.

It is an arithmetic number, because the mean of its divisors is an integer number (7474643540).

Almost surely, 2106156353132 is an apocalyptic number.

106156353132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106156353132 is an abundant number, since it is smaller than the sum of its proper divisors (162930814308).

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

106156353132 is a wasteful number, since it uses less digits than its factorization.

106156353132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8214262 (or 8214257 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 106156353132 in words is "one hundred six billion, one hundred fifty-six million, three hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 359 718 1077 1436 2154 3231 4308 6462 12924 8213893 16427786 24641679 32855572 49283358 73925037 98566716 147850074 295700148 2948787587 5897575174 8846362761 11795150348 17692725522 26539088283 35385451044 53078176566 106156353132