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13014789100 = 22521910216709
BaseRepresentation
bin11000001111011110…
…11110101111101100
31020121000121210021221
430013233132233230
5203123241222400
65551240033124
7640342611355
oct140757365754
936530553257
1013014789100
115579566755
1226327627a4
1312c547c351
148b66d8d2c
155128c3c1a
hex307bdebec

13014789100 has 72 divisors (see below), whose sum is σ = 29762070800. Its totient is φ = 4926355200.

The previous prime is 13014789097. The next prime is 13014789103. The reversal of 13014789100 is 198741031.

It is an interprime number because it is at equal distance from previous prime (13014789097) and next prime (13014789103).

It is not an unprimeable number, because it can be changed into a prime (13014789103) 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, 1936546 + ... + 1943254.

Almost surely, 213014789100 is an apocalyptic number.

13014789100 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 13014789100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881035400).

13014789100 is an abundant number, since it is smaller than the sum of its proper divisors (16747281700).

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

13014789100 is a wasteful number, since it uses less digits than its factorization.

13014789100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 13014789100 in words is "thirteen billion, fourteen million, seven hundred eighty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1021 1900 2042 4084 5105 6709 10210 13418 19399 20420 25525 26836 33545 38798 51050 67090 77596 96995 102100 127471 134180 167725 193990 254942 335450 387980 484975 509884 637355 670900 969950 1274710 1939900 2549420 3186775 6373550 6849889 12747100 13699778 27399556 34249445 68498890 130147891 136997780 171247225 260295782 342494450 520591564 650739455 684988900 1301478910 2602957820 3253697275 6507394550 13014789100