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2132230734900 = 22335273716931801
BaseRepresentation
bin11111000001110010110…
…110110000010000110100
321112211122211022011121000
4133001302312300100310
5234413302032004100
64311311104323300
7310022444130510
oct37016266602064
97484584264530
102132230734900
11752301732082
122a52a7913530
131260b763bb86
14752b4317140
153a6e6ace900
hex1f072db0434

2132230734900 has 576 divisors, whose sum is σ = 8054925007360. Its totient is φ = 473651712000.

The previous prime is 2132230734791. The next prime is 2132230734989. The reversal of 2132230734900 is 94370322312.

2132230734900 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 307 + 349 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1183914000 + ... + 1183915800.

Almost surely, 22132230734900 is an apocalyptic number.

2132230734900 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 2132230734900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027462503680).

2132230734900 is an abundant number, since it is smaller than the sum of its proper divisors (5922694272460).

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

2132230734900 is a wasteful number, since it uses less digits than its factorization.

2132230734900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

It can be divided in two parts, 2132 and 230734900, that added together give a palindrome (230737032).

The spelling of 2132230734900 in words is "two trillion, one hundred thirty-two billion, two hundred thirty million, seven hundred thirty-four thousand, nine hundred".