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101313021132 = 22333130260759
BaseRepresentation
bin101111001011010111…
…0100000010011001100
3100200111200022201122000
41132112232200103030
53124442113134012
6114313105352300
710214426320311
oct1362656402314
9320450281560
10101313021132
1139a6a617334
1217775638690
13972785641b
144c915b0d08
15297e64cddc
hex1796ba04cc

101313021132 has 48 divisors (see below), whose sum is σ = 271136409600. Its totient is φ = 32681618640.

The previous prime is 101313021127. The next prime is 101313021179. The reversal of 101313021132 is 231120313101.

It is a super-2 number, since 2×1013130211322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15127032 + ... + 15133727.

It is an arithmetic number, because the mean of its divisors is an integer number (5648675200).

Almost surely, 2101313021132 is an apocalyptic number.

101313021132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101313021132 is an abundant number, since it is smaller than the sum of its proper divisors (169823388468).

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

101313021132 is a wasteful number, since it uses less digits than its factorization.

101313021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30260803 (or 30260795 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101313021132 its reverse (231120313101), we get a palindrome (332433334233).

The spelling of 101313021132 in words is "one hundred one billion, three hundred thirteen million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 30260759 60521518 90782277 121043036 181564554 272346831 363129108 544693662 817040493 938083529 1089387324 1634080986 1876167058 2814250587 3268161972 3752334116 5628501174 8442751761 11257002348 16885503522 25328255283 33771007044 50656510566 101313021132