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2000100213312 = 26341254077771
BaseRepresentation
bin11101000110101111010…
…000110100001001000000
321002012121102102012210020
4131012233100310021000
5230232201123311222
64130500000533440
7264334230206115
oct35065720641100
97065542365706
102000100213312
11701268478603
12283771621280
131167bb250ca6
146cb3bcd890c
1537061bc565c
hex1d1af434240

2000100213312 has 56 divisors (see below), whose sum is σ = 5421003343392. Its totient is φ = 650439091200.

The previous prime is 2000100213247. The next prime is 2000100213313. The reversal of 2000100213312 is 2133120010002.

It is a junction number, because it is equal to n+sod(n) for n = 2000100213291 and 2000100213300.

It is not an unprimeable number, because it can be changed into a prime (2000100213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127031014 + ... + 127046757.

It is an arithmetic number, because the mean of its divisors is an integer number (96803631132).

Almost surely, 22000100213312 is an apocalyptic number.

It is an amenable number.

2000100213312 is an abundant number, since it is smaller than the sum of its proper divisors (3420903130080).

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

2000100213312 is a wasteful number, since it uses less digits than its factorization.

2000100213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254077827 (or 254077817 counting only the distinct ones).

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

Adding to 2000100213312 its reverse (2133120010002), we get a palindrome (4133220223314).

The spelling of 2000100213312 in words is "two trillion, one hundred million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 254077771 508155542 762233313 1016311084 1524466626 2032622168 3048933252 4065244336 6097866504 8130488672 10417188611 12195733008 16260977344 20834377222 24391466016 31251565833 41668754444 48782932032 62503131666 83337508888 125006263332 166675017776 250012526664 333350035552 500025053328 666700071104 1000050106656 2000100213312