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13102790324400 = 24325271790929033
BaseRepresentation
bin1011111010101011101100…
…1010011011000010110000
31201101121120222122001000100
42332222323022123002300
53204134003310340100
643511201101552400
72521434234056430
oct276527312330260
951347528561010
1013102790324400
1141a1953604917
1215774a9b75700
137407845b808a
1433426d8ac2c0
1517ac78849400
hexbeabb29b0b0

13102790324400 has 360 divisors, whose sum is σ = 51970774059360. Its totient is φ = 2994653122560.

The previous prime is 13102790324329. The next prime is 13102790324413. The reversal of 13102790324400 is 442309720131.

It is a happy number.

13102790324400 is a `hidden beast` number, since 1 + 310 + 279 + 0 + 32 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×131027903244002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 451292284 + ... + 451321316.

It is an arithmetic number, because the mean of its divisors is an integer number (144363261276).

Almost surely, 213102790324400 is an apocalyptic number.

13102790324400 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 13102790324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25985387029680).

13102790324400 is an abundant number, since it is smaller than the sum of its proper divisors (38867983734960).

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

13102790324400 is a wasteful number, since it uses less digits than its factorization.

13102790324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46973 (or 46959 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13102790324400 in words is "thirteen trillion, one hundred two billion, seven hundred ninety million, three hundred twenty-four thousand, four hundred".