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2012210002100 = 2252135301148721
BaseRepresentation
bin11101010010000001000…
…011111111100010110100
321010100212101010020001002
4131102001003333202310
5230432001230031400
64140221351422432
7265243303544564
oct35220103774264
97110771106032
102012210002100
117064120a7111
12285b91084a18
1311799b07599c
146d56a334da4
153751edd0ed5
hex1d4810ff8b4

2012210002100 has 36 divisors (see below), whose sum is σ = 4366557337548. Its totient is φ = 804872640000.

The previous prime is 2012210002051. The next prime is 2012210002109. The reversal of 2012210002100 is 12000122102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 197596252324 + 1814613749776 = 444518^2 + 1347076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012210002109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13455740 + ... + 13604460.

Almost surely, 22012210002100 is an apocalyptic number.

2012210002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012210002100 is an abundant number, since it is smaller than the sum of its proper divisors (2354347335448).

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

2012210002100 is a wasteful number, since it uses less digits than its factorization.

2012210002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284036 (or 284029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2012210002100 its reverse (12000122102), we get a palindrome (2024210124202).

The spelling of 2012210002100 in words is "two trillion, twelve billion, two hundred ten million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 135301 148721 270602 297442 541204 594884 676505 743605 1353010 1487210 2706020 2974420 3382525 3718025 6765050 7436050 13530100 14872100 20122100021 40244200042 80488400084 100610500105 201221000210 402442000420 503052500525 1006105001050 2012210002100