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231111121020000 = 25354132231328683
BaseRepresentation
bin110100100011000111000000…
…010001011010010001100000
31010022022000012101112221020220
4310203013000101122101200
5220243011033440120000
62135310552220203040
766452141011604304
oct6443070021322140
91108260171487226
10231111121020000
1167703748841311
1221b06a72999480
139bc58ba4c3cb0
14410dba344bd04
151babae5d111a0
hexd231c045a460

231111121020000 has 480 divisors, whose sum is σ = 820066996159488. Its totient is φ = 56633741568000.

The previous prime is 231111121019827. The next prime is 231111121020037. The reversal of 231111121020000 is 20121111132.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 173275659 + ... + 174604341.

Almost surely, 2231111121020000 is an apocalyptic number.

231111121020000 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 231111121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410033498079744).

231111121020000 is an abundant number, since it is smaller than the sum of its proper divisors (588955875139488).

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

231111121020000 is a wasteful number, since it uses less digits than its factorization.

231111121020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328952 (or 1328929 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 231111121020000 its reverse (20121111132), we get a palindrome (231131242131132).

The spelling of 231111121020000 in words is "two hundred thirty-one trillion, one hundred eleven billion, one hundred twenty-one million, twenty thousand".