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20231031312000 = 273353138133911
BaseRepresentation
bin1001001100110011001110…
…11011110100111010000000
32122122001211100122011122000
410212121213123310322000
510122431123003441000
6111010001340544000
74155433546540155
oct446314733647200
978561740564560
1020231031312000
11649aa28832233
122328aab552000
13b39a16549392
144dd28972622c
152513c774d000
hex1266676f4e80

20231031312000 has 512 divisors, whose sum is σ = 74573790220800. Its totient is φ = 5390876160000.

The previous prime is 20231031311957. The next prime is 20231031312017. The reversal of 20231031312000 is 21313013202.

20231031312000 is a `hidden beast` number, since 2 + 0 + 231 + 0 + 313 + 120 + 0 + 0 = 666.

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

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, 596575045 + ... + 596608955.

It is an arithmetic number, because the mean of its divisors is an integer number (145651934025).

Almost surely, 220231031312000 is an apocalyptic number.

20231031312000 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 20231031312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37286895110400).

20231031312000 is an abundant number, since it is smaller than the sum of its proper divisors (54342758908800).

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

20231031312000 is a wasteful number, since it uses less digits than its factorization.

20231031312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35330 (or 35302 counting only the distinct ones).

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

Adding to 20231031312000 its reverse (21313013202), we get a palindrome (20252344325202).

The spelling of 20231031312000 in words is "twenty trillion, two hundred thirty-one billion, thirty-one million, three hundred twelve thousand".