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12021100100 = 2252359333457
BaseRepresentation
bin10110011001000001…
…10110111001000100
31011000202211011020122
423030200312321010
5144104400200400
65304501521112
7603615444032
oct131440667104
934022734218
1012021100100
115109663479
1223b5a13198
1311976418a9
14820751552
154a553c685
hex2cc836e44

12021100100 has 36 divisors (see below), whose sum is σ = 26093827284. Its totient is φ = 4806958080.

The previous prime is 12021100067. The next prime is 12021100109. The reversal of 12021100100 is 100112021.

It can be written as a sum of positive squares in 6 ways, for example, as 1058591296 + 10962508804 = 32536^2 + 104702^2 .

It is a super-2 number, since 2×120211001002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12021100109) 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, 342572 + ... + 376028.

Almost surely, 212021100100 is an apocalyptic number.

12021100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021100100 is an abundant number, since it is smaller than the sum of its proper divisors (14072727184).

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

12021100100 is a wasteful number, since it uses less digits than its factorization.

12021100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37064 (or 37057 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12021100100 its reverse (100112021), we get a palindrome (12121212121).

The spelling of 12021100100 in words is "twelve billion, twenty-one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3593 7186 14372 17965 33457 35930 66914 71860 89825 133828 167285 179650 334570 359300 669140 836425 1672850 3345700 120211001 240422002 480844004 601055005 1202110010 2404220020 3005275025 6010550050 12021100100