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13013610000 = 24354433787
BaseRepresentation
bin11000001111010101…
…11110111000010000
31020120221101212212120
430013222332320100
5203122441010000
65551154454240
7640326600636
oct140752767020
936527355776
1013013610000
115578930896
122632294380
1312c5158761
148b64ad356
1551273e6a0
hex307abee10

13013610000 has 100 divisors (see below), whose sum is σ = 42009765072. Its totient is φ = 3470288000.

The previous prime is 13013609981. The next prime is 13013610011. The reversal of 13013610000 is 1631031.

13013610000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 186894 + ... + 246893.

Almost surely, 213013610000 is an apocalyptic number.

13013610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013610000 is an abundant number, since it is smaller than the sum of its proper divisors (28996155072).

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

13013610000 is an equidigital number, since it uses as much as digits as its factorization.

13013610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433818 (or 433797 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The spelling of 13013610000 in words is "thirteen billion, thirteen million, six hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 433787 867574 1301361 1735148 2168935 2602722 3470296 4337870 5205444 6506805 6940592 8675740 10410888 10844675 13013610 17351480 20821776 21689350 26027220 32534025 34702960 43378700 52054440 54223375 65068050 86757400 104108880 108446750 130136100 162670125 173514800 216893500 260272200 271116875 325340250 433787000 520544400 542233750 650680500 813350625 867574000 1084467500 1301361000 1626701250 2168935000 2602722000 3253402500 4337870000 6506805000 13013610000