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2131223100 = 2235267106031
BaseRepresentation
bin111111100000111…
…1110001000111100
312111112021100110220
41333001332020330
513331043114400
6551251301340
7103546045266
oct17701761074
95445240426
102131223100
119a4024506
124b58aa850
1327c700776
14163096b36
15c71837a0
hex7f07e23c

2131223100 has 72 divisors (see below), whose sum is σ = 6258432768. Its totient is φ = 559838400.

The previous prime is 2131223057. The next prime is 2131223183. The reversal of 2131223100 is 13221312.

It is a super-2 number, since 2×21312231002 = 9084223803947220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2131223100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32916 + ... + 73115.

Almost surely, 22131223100 is an apocalyptic number.

2131223100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131223100 is an abundant number, since it is smaller than the sum of its proper divisors (4127209668).

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

2131223100 is a wasteful number, since it uses less digits than its factorization.

2131223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106115 (or 106108 counting only the distinct ones).

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

The square root of 2131223100 is about 46165.1719372949. The cubic root of 2131223100 is about 1286.8945794671.

Adding to 2131223100 its reverse (13221312), we get a palindrome (2144444412).

The spelling of 2131223100 in words is "two billion, one hundred thirty-one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 10050 20100 106031 212062 318093 424124 530155 636186 1060310 1272372 1590465 2120620 2650775 3180930 5301550 6361860 7104077 7952325 10603100 14208154 15904650 21312231 28416308 31809300 35520385 42624462 71040770 85248924 106561155 142081540 177601925 213122310 355203850 426244620 532805775 710407700 1065611550 2131223100