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231103332000000 = 28325637173501
BaseRepresentation
bin110100100010111111110000…
…000000101010000100000000
31010022021021002120010201111200
4310202333300000222010000
5220242344110443000000
62135303223254341200
766451444002202215
oct6442776000520400
91108237076121450
10231103332000000
11677004110762a9
1221b0545a35a800
139bc4c488b0b15
14410d664bc3b0c
151bab7dc0dd500
hexd22ff002a100

231103332000000 has 756 divisors, whose sum is σ = 855414907345908. Its totient is φ = 59961600000000.

The previous prime is 231103331999999. The next prime is 231103332000031. The reversal of 231103332000000 is 233301132.

231103332000000 is a `hidden beast` number, since 2 + 311 + 0 + 33 + 320 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 162634724020224 + 68468607979776 = 12752832^2 + 8274576^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 83 ways as a sum of consecutive naturals, for example, 1331913250 + ... + 1332086750.

It is an arithmetic number, because the mean of its divisors is an integer number (1131501200193).

Almost surely, 2231103332000000 is an apocalyptic number.

231103332000000 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 231103332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427707453672954).

231103332000000 is an abundant number, since it is smaller than the sum of its proper divisors (624311575345908).

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

231103332000000 is an frugal number, since it uses more digits than its factorization.

231103332000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173590 (or 173548 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 231103332000000 its reverse (233301132), we get a palindrome (231103565301132).

The spelling of 231103332000000 in words is "two hundred thirty-one trillion, one hundred three billion, three hundred thirty-two million", and thus it is an aban number.