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231149952000 = 210325311172937
BaseRepresentation
bin1101011101000110011…
…1000101110000000000
3211002122020102012110100
43113101213011300000
512241343341431000
6254104441402400
722462053113412
oct3272147056000
9732566365410
10231149952000
118a037138190
123896b799400
1318a49a04536
14b28b14c9b2
15602ceeea00
hex35d19c5c00

231149952000 has 2112 divisors, whose sum is σ = 1022220051840. Its totient is φ = 49545216000.

The previous prime is 231149951959. The next prime is 231149952013. The reversal of 231149952000 is 259941132.

231149952000 is a `hidden beast` number, since 2 + 31 + 14 + 99 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6247295982 + ... + 6247296018.

Almost surely, 2231149952000 is an apocalyptic number.

231149952000 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 231149952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511110025920).

231149952000 is an abundant number, since it is smaller than the sum of its proper divisors (791070099840).

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

231149952000 is a wasteful number, since it uses less digits than its factorization.

231149952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 231149952000 in words is "two hundred thirty-one billion, one hundred forty-nine million, nine hundred fifty-two thousand".