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231331101131020 = 2251137479121748751
BaseRepresentation
bin110100100110010011111000…
…000110111100000100001100
31010100002001000011221102110011
4310212103320012330010030
5220310112043342143040
62140000012445323004
766504056223650662
oct6446237006740414
91110061004842404
10231331101131020
1167788a72887660
1221b41625866464
139c10577046067
14411a6b0d18c32
151bb26bd3c33ea
hexd264f81bc10c

231331101131020 has 192 divisors, whose sum is σ = 545877376450560. Its totient is φ = 81607219200000.

The previous prime is 231331101130993. The next prime is 231331101131033. The reversal of 231331101131020 is 20131101133132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 231331101130982 and 231331101131000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4745131645 + ... + 4745180395.

It is an arithmetic number, because the mean of its divisors is an integer number (2843111335680).

Almost surely, 2231331101131020 is an apocalyptic number.

231331101131020 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 231331101131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272938688225280).

231331101131020 is an abundant number, since it is smaller than the sum of its proper divisors (314546275319540).

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

231331101131020 is a wasteful number, since it uses less digits than its factorization.

231331101131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50504 (or 50502 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 231331101131020 its reverse (20131101133132), we get a palindrome (251462202264152).

The spelling of 231331101131020 in words is "two hundred thirty-one trillion, three hundred thirty-one billion, one hundred one million, one hundred thirty-one thousand, twenty".