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1131013023360 = 2735114710331103
BaseRepresentation
bin10000011101010101101…
…000010010011010000000
311000010100020112120220120
4100131111220102122000
5122012303313221420
62223325154140240
7144466362035163
oct20352550223200
94003306476816
101131013023360
113a6729403510
12163245b81680
1382866cba27c
143ca5428dada
151e6484ced40
hex10755a12680

1131013023360 has 512 divisors, whose sum is σ = 4024051384320. Its totient is φ = 267848417280.

The previous prime is 1131013023323. The next prime is 1131013023383. The reversal of 1131013023360 is 633203101311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1131013023360.

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, 1025396569 + ... + 1025397671.

It is an arithmetic number, because the mean of its divisors is an integer number (7859475360).

Almost surely, 21131013023360 is an apocalyptic number.

1131013023360 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 1131013023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012025692160).

1131013023360 is an abundant number, since it is smaller than the sum of its proper divisors (2893038360960).

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

1131013023360 is a wasteful number, since it uses less digits than its factorization.

1131013023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1131013023360 its reverse (633203101311), we get a palindrome (1764216124671).

The spelling of 1131013023360 in words is "one trillion, one hundred thirty-one billion, thirteen million, twenty-three thousand, three hundred sixty".