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132132000220020 = 22325734066667889
BaseRepresentation
bin11110000010110001100000…
…111011111100001101110100
3122022211200210021120002101200
4132002301200323330031310
5114304322314024020040
61145004334121452500
736555136066443243
oct3602614073741564
9568750707502350
10132132000220020
11391129594a5039
12129a0097641130
135895cc0214608
14248b319a2c95a
1510420cace2630
hex782c60efc374

132132000220020 has 36 divisors (see below), whose sum is σ = 400800400667940. Its totient is φ = 35235200058624.

The previous prime is 132132000220013. The next prime is 132132000220061. The reversal of 132132000220020 is 20022000231231.

132132000220020 is a `hidden beast` number, since 1 + 321 + 320 + 0 + 0 + 2 + 2 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16877948125284 + 115254052094736 = 4108278^2 + 10735644^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 132132000219975 and 132132000220002.

It is a congruent number.

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, 367033333765 + ... + 367033334124.

Almost surely, 2132132000220020 is an apocalyptic number.

132132000220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132132000220020 is an abundant number, since it is smaller than the sum of its proper divisors (268668400447920).

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

132132000220020 is a wasteful number, since it uses less digits than its factorization.

132132000220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734066667904 (or 734066667899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132132000220020 its reverse (20022000231231), we get a palindrome (152154000451251).

The spelling of 132132000220020 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 734066667889 1468133335778 2202200003667 2936266671556 3670333339445 4404400007334 6606600011001 7340666678890 8808800014668 11011000018335 13213200022002 14681333357780 22022000036670 26426400044004 33033000055005 44044000073340 66066000110010 132132000220020