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13031313300 = 22325214479237
BaseRepresentation
bin11000010001011101…
…00000111110010100
31020122011201022020100
430020232200332110
5203142004011200
65553030134100
7640633223025
oct141056407624
936564638210
1013031313300
115587922615
1226381b1330
1312c8a16695
148b899ac4c
15514089d00
hex308ba0f94

13031313300 has 54 divisors (see below), whose sum is σ = 40845930398. Its totient is φ = 3475016640.

The previous prime is 13031313289. The next prime is 13031313301. The reversal of 13031313300 is 331313031.

13031313300 is a `hidden beast` number, since 1 + 303 + 1 + 31 + 330 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1559618064 + 11471695236 = 39492^2 + 107106^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031313301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7238719 + ... + 7240518.

Almost surely, 213031313300 is an apocalyptic number.

13031313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13031313300 is an abundant number, since it is smaller than the sum of its proper divisors (27814617098).

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

13031313300 is a wasteful number, since it uses less digits than its factorization.

13031313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14479257 (or 14479247 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13031313300 its reverse (331313031), we get a palindrome (13362626331).

The spelling of 13031313300 in words is "thirteen billion, thirty-one million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 14479237 28958474 43437711 57916948 72396185 86875422 130313133 144792370 173750844 217188555 260626266 289584740 361980925 434377110 521252532 651565665 723961850 868754220 1085942775 1303131330 1447923700 2171885550 2606262660 3257828325 4343771100 6515656650 13031313300