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102001900553280 = 2634571347990281
BaseRepresentation
bin10111001100010100101011…
…000011001000010001000000
3111101011021201211101111020000
4113030110223003020101000
5101332144343020201110
61000535005355120000
730325252120113060
oct2714245303102100
9441137654344200
10102001900553280
112a556843750852
12b53479a143000
1344bb979375950
141b28cbdc713a0
15bbd4845691c0
hex5cc52b0c8440

102001900553280 has 1120 divisors, whose sum is σ = 447507968624640. Its totient is φ = 21476112629760.

The previous prime is 102001900553261. The next prime is 102001900553339. The reversal of 102001900553280 is 82355009100201.

102001900553280 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 1 + 9 + 0 + 0 + 553 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1129781740 + ... + 1129872020.

It is an arithmetic number, because the mean of its divisors is an integer number (399560686272).

Almost surely, 2102001900553280 is an apocalyptic number.

102001900553280 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 102001900553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223753984312320).

102001900553280 is an abundant number, since it is smaller than the sum of its proper divisors (345506068071360).

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

102001900553280 is a wasteful number, since it uses less digits than its factorization.

102001900553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90809 (or 90790 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 102001900553280 its reverse (82355009100201), we get a palindrome (184356909653481).

The spelling of 102001900553280 in words is "one hundred two trillion, one billion, nine hundred million, five hundred fifty-three thousand, two hundred eighty".