Search a number
-
+
2131230100 = 225221379973
BaseRepresentation
bin111111100000111…
…1111110110010100
312111112021201002011
41333001333312110
513331043330400
6551251354004
7103546104556
oct17701776624
95445251064
102131230100
119a402979a
124b58b2904
1327c7039cc
141630994d6
15c71858ba
hex7f07fd94

2131230100 has 36 divisors (see below), whose sum is σ = 4627397404. Its totient is φ = 852007680.

The previous prime is 2131230089. The next prime is 2131230103. The reversal of 2131230100 is 10321312.

It can be written as a sum of positive squares in 6 ways, for example, as 764301316 + 1366928784 = 27646^2 + 36972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131230103) 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, 208714 + ... + 218686.

Almost surely, 22131230100 is an apocalyptic number.

2131230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131230100 is an abundant number, since it is smaller than the sum of its proper divisors (2496167304).

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

2131230100 is a wasteful number, since it uses less digits than its factorization.

2131230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2131230100 is about 46165.2477519616. The cubic root of 2131230100 is about 1286.8959884002.

Adding to 2131230100 its reverse (10321312), we get a palindrome (2141551412).

The spelling of 2131230100 in words is "two billion, one hundred thirty-one million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2137 4274 8548 9973 10685 19946 21370 39892 42740 49865 53425 99730 106850 199460 213700 249325 498650 997300 21312301 42624602 85249204 106561505 213123010 426246020 532807525 1065615050 2131230100