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13034132280 = 23335133129947
BaseRepresentation
bin11000010001110010…
…10001001100111000
31020122101000112011000
430020321101030320
5203143214213110
65553210405000
7640666203441
oct141071211470
936571015130
1013034132280
115589478554
122639130760
1312c9492810
148b90d22c8
155144451c0
hex308e51338

13034132280 has 256 divisors, whose sum is σ = 48300134400. Its totient is φ = 3104801280.

The previous prime is 13034132227. The next prime is 13034132281. The reversal of 13034132280 is 8223143031.

13034132280 is a `hidden beast` number, since 13 + 0 + 341 + 32 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13034132281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420267 + ... + 450213.

It is an arithmetic number, because the mean of its divisors is an integer number (188672400).

Almost surely, 213034132280 is an apocalyptic number.

13034132280 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 13034132280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24150067200).

13034132280 is an abundant number, since it is smaller than the sum of its proper divisors (35266002120).

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

13034132280 is a wasteful number, since it uses less digits than its factorization.

13034132280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30011 (or 30001 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13034132280 in words is "thirteen billion, thirty-four million, one hundred thirty-two thousand, two hundred eighty".