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2131220100 = 2235253134039
BaseRepresentation
bin111111100000111…
…1101011010000100
312111112021012100210
41333001331122010
513331043020400
6551251235420
7103546033452
oct17701753204
95445235323
102131220100
119a4022229
124b58a8b70
1327c6cc2a9
141630959d2
15c7182950
hex7f07d684

2131220100 has 72 divisors (see below), whose sum is σ = 6282722880. Its totient is φ = 557598080.

The previous prime is 2131220083. The next prime is 2131220131. The reversal of 2131220100 is 10221312.

It is a super-2 number, since 2×21312201002 = 9084198229288020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51120 + ... + 82919.

It is an arithmetic number, because the mean of its divisors is an integer number (87260040).

Almost surely, 22131220100 is an apocalyptic number.

2131220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131220100 is an abundant number, since it is smaller than the sum of its proper divisors (4151502780).

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

2131220100 is a wasteful number, since it uses less digits than its factorization.

2131220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134109 (or 134102 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2131220100 is about 46165.1394452567. The cubic root of 2131220100 is about 1286.8939756377.

Adding to 2131220100 its reverse (10221312), we get a palindrome (2141441412).

The spelling of 2131220100 in words is "two billion, one hundred thirty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 134039 268078 402117 536156 670195 804234 1340390 1608468 2010585 2680780 3350975 4021170 6701950 7104067 8042340 10052925 13403900 14208134 20105850 21312201 28416268 35520335 40211700 42624402 71040670 85248804 106561005 142081340 177601675 213122010 355203350 426244020 532805025 710406700 1065610050 2131220100