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2100132000312 = 23367219493317
BaseRepresentation
bin11110100011111001100…
…111110011001000111000
321102202210210212111121020
4132203321213303020320
5233402032243002222
64244442021142440
7304505141315103
oct36437147631070
97382723774536
102100132000312
1173a72a844755
1229b029b5aa20
1312307050cbb8
147390b27173a
1539968add65c
hex1e8f99f3238

2100132000312 has 48 divisors (see below), whose sum is σ = 5329863007560. Its totient is φ = 689595546816.

The previous prime is 2100132000301. The next prime is 2100132000349. The reversal of 2100132000312 is 2130002310012.

It is a junction number, because it is equal to n+sod(n) for n = 2100132000291 and 2100132000300.

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 11 ways as a sum of consecutive naturals, for example, 9638923 + ... + 9854394.

Almost surely, 22100132000312 is an apocalyptic number.

It is an amenable number.

2100132000312 is an abundant number, since it is smaller than the sum of its proper divisors (3229731007248).

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

2100132000312 is a wasteful number, since it uses less digits than its factorization.

2100132000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19493460 (or 19493389 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2100132000312 its reverse (2130002310012), we get a palindrome (4230134310324).

The spelling of 2100132000312 in words is "two trillion, one hundred billion, one hundred thirty-two million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 4489 8978 13467 17956 26934 35912 53868 107736 19493317 38986634 58479951 77973268 116959902 155946536 233919804 467839608 1306052239 2612104478 3918156717 5224208956 7836313434 10448417912 15672626868 31345253736 87505500013 175011000026 262516500039 350022000052 525033000078 700044000104 1050066000156 2100132000312