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231002099328 = 2737111317232953
BaseRepresentation
bin1101011100100011001…
…1000100111010000000
3211002020221012111201110
43113020303010322000
512241043014134303
6254042040403320
722455306306150
oct3271063047200
9732227174643
10231002099328
1189a707322a0
123892a176540
1318a251a7b50
14b275662760
156020046703
hex35c8cc4e80

231002099328 has 2048 divisors, whose sum is σ = 959396659200. Its totient is φ = 47233105920.

The previous prime is 231002099291. The next prime is 231002099329. The reversal of 231002099328 is 823990200132.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (231002099329) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4358530150 + ... + 4358530202.

It is an arithmetic number, because the mean of its divisors is an integer number (468455400).

Almost surely, 2231002099328 is an apocalyptic number.

231002099328 is a gapful number since it is divisible by the number (28) 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 231002099328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479698329600).

231002099328 is an abundant number, since it is smaller than the sum of its proper divisors (728394559872).

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

231002099328 is a wasteful number, since it uses less digits than its factorization.

231002099328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 231002099328 in words is "two hundred thirty-one billion, two million, ninety-nine thousand, three hundred twenty-eight".