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231210000000 = 2732577367
BaseRepresentation
bin1101011101010100110…
…0001001111010000000
3211002210102101221211100
43113111030021322000
512242004230000000
6254114424414400
722463412400440
oct3272514117200
9732712357740
10231210000000
118a068021131
1238987917400
1318a5929a2b5
14b295100120
156033411a00
hex35d5309e80

231210000000 has 768 divisors, whose sum is σ = 953060060160. Its totient is φ = 52704000000.

The previous prime is 231209999903. The next prime is 231210000017. The reversal of 231210000000 is 12132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629999817 + ... + 630000183.

It is an arithmetic number, because the mean of its divisors is an integer number (1240963620).

Almost surely, 2231210000000 is an apocalyptic number.

231210000000 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 231210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476530030080).

231210000000 is an abundant number, since it is smaller than the sum of its proper divisors (721850060160).

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

231210000000 is an frugal number, since it uses more digits than its factorization.

231210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 231210000000 its reverse (12132), we get a palindrome (231210012132).

The spelling of 231210000000 in words is "two hundred thirty-one billion, two hundred ten million", and thus it is an aban number.