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1113310023000 = 233537413174079
BaseRepresentation
bin10000001100110110011…
…100101100110101011000
310221102122111012222210120
4100030312130230311120
5121220024331214000
62211240401313240
7143301601025220
oct20146634546530
93842574188716
101113310023000
1139a1745362aa
1215b925335820
1380ca5476c26
143bc55095080
151de5e2416a0
hex1033672cd58

1113310023000 has 512 divisors, whose sum is σ = 4080396902400. Its totient is φ = 247420416000.

The previous prime is 1113310022933. The next prime is 1113310023029. The reversal of 1113310023000 is 3200133111.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 272934961 + ... + 272939039.

It is an arithmetic number, because the mean of its divisors is an integer number (7969525200).

Almost surely, 21113310023000 is an apocalyptic number.

1113310023000 is a gapful number since it is divisible by the number (10) 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 1113310023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040198451200).

1113310023000 is an abundant number, since it is smaller than the sum of its proper divisors (2967086879400).

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

1113310023000 is a wasteful number, since it uses less digits than its factorization.

1113310023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1113310023000 its reverse (3200133111), we get a palindrome (1116510156111).

The spelling of 1113310023000 in words is "one trillion, one hundred thirteen billion, three hundred ten million, twenty-three thousand".