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132012230100020 = 22553124539839717
BaseRepresentation
bin11110000001000001111110…
…000101001100010000110100
3122022102020122021221120222022
4132001001332011030100310
5114300342021401200040
61144433325320252312
736543366061304024
oct3601017605142064
9568366567846868
10132012230100020
1139077088381196
1212980a30911098
135887913846a1a
1424855d7045a84
15103de1b0e96b5
hex78107e14c434

132012230100020 has 24 divisors (see below), whose sum is σ = 282456356480424. Its totient is φ = 51808573321856.

The previous prime is 132012230100019. The next prime is 132012230100061. The reversal of 132012230100020 is 20001032210231.

It can be written as a sum of positive squares in 4 ways, for example, as 3752573368336 + 128259656731684 = 1937156^2 + 11325178^2 .

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 7 ways as a sum of consecutive naturals, for example, 62269918799 + ... + 62269920918.

It is an arithmetic number, because the mean of its divisors is an integer number (11769014853351).

Almost surely, 2132012230100020 is an apocalyptic number.

132012230100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132012230100020 is an abundant number, since it is smaller than the sum of its proper divisors (150444126380404).

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

132012230100020 is a wasteful number, since it uses less digits than its factorization.

132012230100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124539839779 (or 124539839777 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 132012230100020 its reverse (20001032210231), we get a palindrome (152013262310251).

It can be divided in two parts, 132012 and 230100020, that added together give a palindrome (230232032).

The spelling of 132012230100020 in words is "one hundred thirty-two trillion, twelve billion, two hundred thirty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 124539839717 249079679434 498159358868 622699198585 1245398397170 2490796794340 6600611505001 13201223010002 26402446020004 33003057525005 66006115050010 132012230100020