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1313200100 = 225213132001
BaseRepresentation
bin100111001000101…
…1101011111100100
310101112000110212202
41032101131133210
510142134400400
6334150234032
744354005502
oct11621353744
93345013782
101313200100
116142a3743
12307955918
1317c0aa2a4
14c6599672
157a44b4d5
hex4e45d7e4

1313200100 has 18 divisors (see below), whose sum is σ = 2849644434. Its totient is φ = 525280000.

The previous prime is 1313200093. The next prime is 1313200121. The reversal of 1313200100 is 10023131.

It can be written as a sum of positive squares in 3 ways, for example, as 25969216 + 1287230884 = 5096^2 + 35878^2 .

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 5 ways as a sum of consecutive naturals, for example, 6565901 + ... + 6566100.

Almost surely, 21313200100 is an apocalyptic number.

1313200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313200100 is an abundant number, since it is smaller than the sum of its proper divisors (1536444334).

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

1313200100 is a wasteful number, since it uses less digits than its factorization.

1313200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13132015 (or 13132008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1313200100 is about 36238.1028752886. The cubic root of 1313200100 is about 1095.0744234703.

Adding to 1313200100 its reverse (10023131), we get a palindrome (1323223231).

The spelling of 1313200100 in words is "one billion, three hundred thirteen million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13132001 26264002 52528004 65660005 131320010 262640020 328300025 656600050 1313200100