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102033231132 = 22373133880771
BaseRepresentation
bin101111100000110100…
…1111000110100011100
3100202100212112012000110
41133001221320310130
53132431001344012
6114512354130020
710241323104030
oct1370151706434
9322325465013
10102033231132
113a2aa10a808
1217936880910
139810b206a1
144d1d0ca1c0
1529c29b373c
hex17c1a78d1c

102033231132 has 48 divisors (see below), whose sum is σ = 272957979392. Its totient is φ = 29059205760.

The previous prime is 102033231127. The next prime is 102033231191. The reversal of 102033231132 is 231132330201.

It is a super-2 number, since 2×1020332311322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102033231099 and 102033231108.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1914094 + ... + 1966677.

Almost surely, 2102033231132 is an apocalyptic number.

102033231132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102033231132 is an abundant number, since it is smaller than the sum of its proper divisors (170924748260).

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

102033231132 is a wasteful number, since it uses less digits than its factorization.

102033231132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881098 (or 3881096 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102033231132 its reverse (231132330201), we get a palindrome (333165561333).

The spelling of 102033231132 in words is "one hundred two billion, thirty-three million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 313 626 939 1252 1878 2191 3756 4382 6573 8764 13146 26292 3880771 7761542 11642313 15523084 23284626 27165397 46569252 54330794 81496191 108661588 162992382 325984764 1214681323 2429362646 3644043969 4858725292 7288087938 8502769261 14576175876 17005538522 25508307783 34011077044 51016615566 102033231132