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1316206970100 = 22335211103342901
BaseRepresentation
bin10011001001110100000…
…011001000010011110100
311122211100201121211122000
4103021310003020103310
5133031042441020400
62444353535135300
7164043556436151
oct23116403102364
94584321554560
101316206970100
11468222580760
1219310b074530
139716ba08389
14479c1bd5228
1524386ba0600
hex132740c84f4

1316206970100 has 288 divisors, whose sum is σ = 4620607178880. Its totient is φ = 318764160000.

The previous prime is 1316206970087. The next prime is 1316206970167. The reversal of 1316206970100 is 10796026131.

1316206970100 is a `hidden beast` number, since 13 + 1 + 620 + 6 + 9 + 7 + 0 + 10 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 30658650 + ... + 30701550.

Almost surely, 21316206970100 is an apocalyptic number.

1316206970100 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 1316206970100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310303589440).

1316206970100 is an abundant number, since it is smaller than the sum of its proper divisors (3304400208780).

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

1316206970100 is a wasteful number, since it uses less digits than its factorization.

1316206970100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43968 (or 43955 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 1316206970100 in words is "one trillion, three hundred sixteen billion, two hundred six million, nine hundred seventy thousand, one hundred".