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13331003130 = 23251011466557
BaseRepresentation
bin11000110101001011…
…01111011011111010
31021102001122010101200
430122211233123322
5204300214100010
610042453355030
7651232441224
oct143245573372
937361563350
1013331003130
115721004a65
122700638a76
131345b36243
149066cd414
15530536cc0
hex31a96f6fa

13331003130 has 48 divisors (see below), whose sum is σ = 35003806344. Its totient is φ = 3519734400.

The previous prime is 13331003123. The next prime is 13331003137. The reversal of 13331003130 is 3130013331.

It is an interprime number because it is at equal distance from previous prime (13331003123) and next prime (13331003137).

It can be written as a sum of positive squares in 4 ways, for example, as 12712337001 + 618666129 = 112749^2 + 24873^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13331003137) 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, 724189 + ... + 742368.

Almost surely, 213331003130 is an apocalyptic number.

13331003130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13331003130 is an abundant number, since it is smaller than the sum of its proper divisors (21672803214).

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

13331003130 is a wasteful number, since it uses less digits than its factorization.

13331003130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466671 (or 1466668 counting only the distinct ones).

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

Adding to 13331003130 its reverse (3130013331), we get a palindrome (16461016461).

The spelling of 13331003130 in words is "thirteen billion, three hundred thirty-one million, three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 1466557 2933114 4399671 7332785 8799342 13199013 14665570 21998355 26398026 43996710 65995065 131990130 148122257 296244514 444366771 740611285 888733542 1333100313 1481222570 2221833855 2666200626 4443667710 6665501565 13331003130