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103053227904 = 27321119741281
BaseRepresentation
bin101111111111001110…
…0110111011110000000
3100211222221211101112200
41133332130313132000
53142023111243104
6115201512153200
710305516661404
oct1377634673600
9324887741480
10103053227904
113a782951450
1217b80398800
13994423c683
144db8761104
152a322e4b39
hex17fe737780

103053227904 has 192 divisors, whose sum is σ = 325155196080. Its totient is φ = 31068979200.

The previous prime is 103053227857. The next prime is 103053227951. The reversal of 103053227904 is 409722350301.

103053227904 is a `hidden beast` number, since 1 + 0 + 30 + 532 + 2 + 7 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (103053227857) and next prime (103053227951).

It is a tau number, because it is divible by the number of its divisors (192).

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2475744 + ... + 2517024.

Almost surely, 2103053227904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103053227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162577598040).

103053227904 is an abundant number, since it is smaller than the sum of its proper divisors (222101968176).

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

103053227904 is a wasteful number, since it uses less digits than its factorization.

103053227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41509 (or 41494 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 103053227904 in words is "one hundred three billion, fifty-three million, two hundred twenty-seven thousand, nine hundred four".