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2132130321112 = 2311251145966161
BaseRepresentation
bin11111000001101100110…
…111101101001011011000
321112211101211100121202211
4133001230313231023120
5234413100330233422
64311253120204504
7310020114463111
oct37015467551330
97484354317684
102132130321112
1175225aa88780
122a527a169734
1312609c8b1c2c
14752a4c59208
153a6dcd97577
hex1f06cded2d8

2132130321112 has 64 divisors (see below), whose sum is σ = 4381618147200. Its totient is φ = 964612800000.

The previous prime is 2132130321109. The next prime is 2132130321121. The reversal of 2132130321112 is 2111230312312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32193312 + ... + 32259472.

It is an arithmetic number, because the mean of its divisors is an integer number (68462783550).

Almost surely, 22132130321112 is an apocalyptic number.

2132130321112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2132130321112 is an abundant number, since it is smaller than the sum of its proper divisors (2249487826088).

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

2132130321112 is a wasteful number, since it uses less digits than its factorization.

2132130321112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67888 (or 67884 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2132130321112 its reverse (2111230312312), we get a palindrome (4243360633424).

The spelling of 2132130321112 in words is "two trillion, one hundred thirty-two billion, one hundred thirty million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 251 502 1004 1459 2008 2761 2918 5522 5836 11044 11672 16049 22088 32098 64196 66161 128392 132322 264644 366209 529288 727771 732418 1455542 1464836 2911084 2929672 4028299 5822168 8056598 16113196 16606411 32226392 33212822 66425644 96528899 132851288 182670521 193057798 365341042 386115596 730682084 772231192 1061817889 1461364168 2123635778 4247271556 8494543112 24228753649 48457507298 96915014596 193830029192 266516290139 533032580278 1066065160556 2132130321112