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13126271100 = 22352311411427
BaseRepresentation
bin11000011100110001…
…10000000001111100
31020212210101122211220
430032120300001330
5203340311133400
610010301313340
7643165314645
oct141630600174
936783348756
1013126271100
11562648a838
122663b65850
1313125b3127
148c74386cc
1551c5957a0
hex30e63007c

13126271100 has 72 divisors (see below), whose sum is σ = 39203824128. Its totient is φ = 3387422400.

The previous prime is 13126271063. The next prime is 13126271101. The reversal of 13126271100 is 117262131.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13126271101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696414 + ... + 715013.

Almost surely, 213126271100 is an apocalyptic number.

13126271100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13126271100 is an abundant number, since it is smaller than the sum of its proper divisors (26077553028).

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

13126271100 is a wasteful number, since it uses less digits than its factorization.

13126271100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411475 (or 1411468 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 13126271100 in words is "thirteen billion, one hundred twenty-six million, two hundred seventy-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 1411427 2822854 4234281 5645708 7057135 8468562 14114270 16937124 21171405 28228540 35285675 42342810 43754237 70571350 84685620 87508474 105857025 131262711 141142700 175016948 211714050 218771185 262525422 423428100 437542370 525050844 656313555 875084740 1093855925 1312627110 2187711850 2625254220 3281567775 4375423700 6563135550 13126271100