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231030021200 = 245211193976961
BaseRepresentation
bin1101011100101001110…
…1100101110001010000
3211002022212202002022212
43113022131211301100
512241122141134300
6254044515051252
722456065531056
oct3271235456120
9732285662285
10231030021200
1189a85473420
12389375a0b28
1318a2ac02c74
14b2792501d6
15602270e935
hex35ca765c50

231030021200 has 240 divisors, whose sum is σ = 639074840640. Its totient is φ = 79377408000.

The previous prime is 231030021193. The next prime is 231030021251. The reversal of 231030021200 is 2120030132.

It is a happy number.

231030021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 33185720 + ... + 33192680.

It is an arithmetic number, because the mean of its divisors is an integer number (2662811836).

Almost surely, 2231030021200 is an apocalyptic number.

231030021200 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 231030021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319537420320).

231030021200 is an abundant number, since it is smaller than the sum of its proper divisors (408044819440).

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

231030021200 is a wasteful number, since it uses less digits than its factorization.

231030021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 7395 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 231030021200 its reverse (2120030132), we get a palindrome (233150051332).

The spelling of 231030021200 in words is "two hundred thirty-one billion, thirty million, twenty-one thousand, two hundred".