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111131031000 = 233531112792633
BaseRepresentation
bin110011101111111101…
…1001111010111011000
3101121211220122022020010
41213133323033113120
53310044020443000
6123015231401520
711012634114633
oct1473773172730
9347756568203
10111131031000
114314862a480
12196556832a0
13a630923c12
1455434bcc1a
152d5655cd50
hex19dfecf5d8

111131031000 has 256 divisors, whose sum is σ = 378689126400. Its totient is φ = 26909568000.

The previous prime is 111131030999. The next prime is 111131031031. The reversal of 111131031000 is 130131111.

It is a super-2 number, since 2×1111310310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 42205684 + ... + 42208316.

It is an arithmetic number, because the mean of its divisors is an integer number (1479254400).

Almost surely, 2111131031000 is an apocalyptic number.

111131031000 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 111131031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189344563200).

111131031000 is an abundant number, since it is smaller than the sum of its proper divisors (267558095400).

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

111131031000 is a wasteful number, since it uses less digits than its factorization.

111131031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 111131031000 its reverse (130131111), we get a palindrome (111261162111).

The spelling of 111131031000 in words is "one hundred eleven billion, one hundred thirty-one million, thirty-one thousand".