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231221231120 = 2451119101269509
BaseRepresentation
bin1101011101010111011…
…0111111111000010000
3211002211012112120000202
43113111312333320100
512242020113343440
6254115505234332
722463610015305
oct3272566777020
9732735476022
10231221231120
118a0733a2250
123898b6329a8
1318a5b700329
14b2967c50ac
1560343ce615
hex35d5dbfe10

231221231120 has 320 divisors, whose sum is σ = 626986656000. Its totient is φ = 78418944000.

The previous prime is 231221231099. The next prime is 231221231203. The reversal of 231221231120 is 21132122132.

231221231120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231221231092 and 231221231101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 454265426 + ... + 454265934.

It is an arithmetic number, because the mean of its divisors is an integer number (1959333300).

Almost surely, 2231221231120 is an apocalyptic number.

231221231120 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 231221231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313493328000).

231221231120 is an abundant number, since it is smaller than the sum of its proper divisors (395765424880).

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

231221231120 is a wasteful number, since it uses less digits than its factorization.

231221231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 231221231120 its reverse (21132122132), we get a palindrome (252353353252).

The spelling of 231221231120 in words is "two hundred thirty-one billion, two hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty".