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101021313132 = 2233935382529
BaseRepresentation
bin101111000010101010…
…1101110100001101100
3100122202100102102111000
41132011111232201230
53123342424010012
6114224125200300
710204254664545
oct1360525564154
9318670372430
10101021313132
113992a996843
12176b3a00090
1396ac29c93c
144c649594cc
152963c2addc
hex178556e86c

101021313132 has 24 divisors (see below), whose sum is σ = 261907108400. Its totient is φ = 33673771008.

The previous prime is 101021313119. The next prime is 101021313137. The reversal of 101021313132 is 231313120101.

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

It is not an unprimeable number, because it can be changed into a prime (101021313137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467691157 + ... + 467691372.

Almost surely, 2101021313132 is an apocalyptic number.

101021313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021313132 is an abundant number, since it is smaller than the sum of its proper divisors (160885795268).

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

101021313132 is a wasteful number, since it uses less digits than its factorization.

101021313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935382542 (or 935382534 counting only the distinct ones).

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

Adding to 101021313132 its reverse (231313120101), we get a palindrome (332334433233).

The spelling of 101021313132 in words is "one hundred one billion, twenty-one million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 935382529 1870765058 2806147587 3741530116 5612295174 8418442761 11224590348 16836885522 25255328283 33673771044 50510656566 101021313132