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2312130900 = 223521719107223
BaseRepresentation
bin1000100111010000…
…0101000101010100
312222010200102022210
42021310011011110
514213401142100
61021232553420
7111203534262
oct21164050524
95863612283
102312130900
11a87157192
125463b2870
132ab0318c1
1417d109432
15d7ebac50
hex89d05154

2312130900 has 288 divisors, whose sum is σ = 7559516160. Its totient is φ = 542177280.

The previous prime is 2312130869. The next prime is 2312130901. The reversal of 2312130900 is 90312132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312130901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10368189 + ... + 10368411.

It is an arithmetic number, because the mean of its divisors is an integer number (26248320).

Almost surely, 22312130900 is an apocalyptic number.

2312130900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312130900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779758080).

2312130900 is an abundant number, since it is smaller than the sum of its proper divisors (5247385260).

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

2312130900 is a wasteful number, since it uses less digits than its factorization.

2312130900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 2312130900 is about 48084.6222819729. The cubic root of 2312130900 is about 1322.3227583508.

It can be divided in two parts, 23121 and 30900, that multiplied together give a triangular number (714438900 = T37800).

The spelling of 2312130900 in words is "two billion, three hundred twelve million, one hundred thirty thousand, nine hundred".