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231220130031000 = 233253117942416971
BaseRepresentation
bin110100100100101100100001…
…101101110010010110011000
31010022200102120102020110021200
4310210230201231302112120
5220301302311241443000
62135433021125434200
766463050241114065
oct6444544155622630
91108612512213250
10231220130031000
11677459a7562750
1221b2401586b960
139c02c705ba376
144115184b8bc6c
151bae875e07500
hexd24b21b72598

231220130031000 has 768 divisors, whose sum is σ = 863691181516800. Its totient is φ = 55322841600000.

The previous prime is 231220130030999. The next prime is 231220130031047. The reversal of 231220130031000 is 130031022132.

231220130031000 is a `hidden beast` number, since 2 + 3 + 1 + 220 + 130 + 0 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×2312201300310002 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33168857515 + ... + 33168864485.

It is an arithmetic number, because the mean of its divisors is an integer number (1124597892600).

Almost surely, 2231220130031000 is an apocalyptic number.

231220130031000 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 231220130031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431845590758400).

231220130031000 is an abundant number, since it is smaller than the sum of its proper divisors (632471051485800).

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

231220130031000 is a wasteful number, since it uses less digits than its factorization.

231220130031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11329 (or 11312 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231220130031000 its reverse (130031022132), we get a palindrome (231350161053132).

The spelling of 231220130031000 in words is "two hundred thirty-one trillion, two hundred twenty billion, one hundred thirty million, thirty-one thousand".