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13300275270 = 2355322337511
BaseRepresentation
bin11000110001100001…
…00001100001000110
31021022220210222200210
430120300201201012
5204214332302040
610035435020250
7650410321512
oct143060414106
937286728623
1013300275270
115705727737
1226b229a686
13133c667b89
149025b1142
1552c9b7480
hex318c21846

13300275270 has 64 divisors (see below), whose sum is σ = 32669650944. Its totient is φ = 3464123520.

The previous prime is 13300275221. The next prime is 13300275277. The reversal of 13300275270 is 7257200331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300275277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335815 + ... + 373325.

It is an arithmetic number, because the mean of its divisors is an integer number (510463296).

Almost surely, 213300275270 is an apocalyptic number.

13300275270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300275270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16334825472).

13300275270 is an abundant number, since it is smaller than the sum of its proper divisors (19369375674).

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

13300275270 is a wasteful number, since it uses less digits than its factorization.

13300275270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37797.

The product of its (nonzero) digits is 8820, while the sum is 30.

The spelling of 13300275270 in words is "thirteen billion, three hundred million, two hundred seventy-five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 223 265 318 446 530 669 795 1115 1338 1590 2230 3345 6690 11819 23638 35457 37511 59095 70914 75022 112533 118190 177285 187555 225066 354570 375110 562665 1125330 1988083 3976166 5964249 8364953 9940415 11928498 16729906 19880830 25094859 29821245 41824765 50189718 59642490 83649530 125474295 250948590 443342509 886685018 1330027527 2216712545 2660055054 4433425090 6650137635 13300275270