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1313918253000 = 23365317971093
BaseRepresentation
bin10011000111101011101…
…000010111011111001000
311122121110012222222000000
4103013223220113133020
5133011401033044000
62443334500043000
7163633055606433
oct23075350273710
94577405888000
101313918253000
11467258666721
12192790693460
1396b957b39c2
1447845c6281a
15242a0cac000
hex131eba177c8

1313918253000 has 896 divisors, whose sum is σ = 4935735997920. Its totient is φ = 326069452800.

The previous prime is 1313918252981. The next prime is 1313918253061. The reversal of 1313918253000 is 3528193131.

1313918253000 is a `hidden beast` number, since 1 + 31 + 3 + 91 + 8 + 2 + 530 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 75162608964 + 1238755644036 = 274158^2 + 1112994^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1202120454 + ... + 1202121546.

Almost surely, 21313918253000 is an apocalyptic number.

1313918253000 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 1313918253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467867998960).

1313918253000 is an abundant number, since it is smaller than the sum of its proper divisors (3621817744920).

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

1313918253000 is a wasteful number, since it uses less digits than its factorization.

1313918253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1313918253000 in words is "one trillion, three hundred thirteen billion, nine hundred eighteen million, two hundred fifty-three thousand".