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1318138450200 = 23345211213223173
BaseRepresentation
bin10011001011100111001…
…011001001000100011000
311200000100100001012020000
4103023213023021010120
5133044021420401300
62445313333333000
7164142461650365
oct23134713110430
94600310035200
101318138450200
11469023878300
12193569a97160
13973b8c11800
1447b2653546c
152444b52ac00
hex132e72c9118

1318138450200 has 2160 divisors, whose sum is σ = 5718755694960. Its totient is φ = 280512460800.

The previous prime is 1318138450193. The next prime is 1318138450207. The reversal of 1318138450200 is 20548318131.

1318138450200 is a `hidden beast` number, since 1 + 3 + 18 + 138 + 4 + 502 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1318138450193) and next prime (1318138450207).

It is a super-4 number, since 4×13181384502004 (a number of 50 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1318138450207) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 7619297314 + ... + 7619297486.

It is an arithmetic number, because the mean of its divisors is an integer number (2647572081).

Almost surely, 21318138450200 is an apocalyptic number.

1318138450200 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 1318138450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859377847480).

1318138450200 is an abundant number, since it is smaller than the sum of its proper divisors (4400617244760).

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

1318138450200 is a wasteful number, since it uses less digits than its factorization.

1318138450200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1318138450200 in words is "one trillion, three hundred eighteen billion, one hundred thirty-eight million, four hundred fifty thousand, two hundred".