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13047381000 = 23325317531609
BaseRepresentation
bin11000010011010111…
…10011110000001000
31020200021221121222100
430021223303300020
5203210112143000
65554402353400
7641216623443
oct141153636010
936607847870
1013047381000
1155959a7505
12264165b860
1312cc150cb4
148bab8065a
155156b0a00
hex309af3c08

13047381000 has 384 divisors, whose sum is σ = 47604866400. Its totient is φ = 3210854400.

The previous prime is 13047380999. The next prime is 13047381007. The reversal of 13047381000 is 18374031.

It can be written as a sum of positive squares in 16 ways, for example, as 1680836004 + 11366544996 = 40998^2 + 106614^2 .

It is a super-2 number, since 2×130473810002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13047381007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8108196 + ... + 8109804.

Almost surely, 213047381000 is an apocalyptic number.

13047381000 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 13047381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23802433200).

13047381000 is an abundant number, since it is smaller than the sum of its proper divisors (34557485400).

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

13047381000 is a wasteful number, since it uses less digits than its factorization.

13047381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 13047381000 in words is "thirteen billion, forty-seven million, three hundred eighty-one thousand".