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13243131000 = 23325311133769
BaseRepresentation
bin11000101010101101…
…00010010001111000
31021011221021202111100
430111112202101320
5204110220143000
610030034131400
7646114520241
oct142526422170
937157252440
1013243131000
115686447370
122697120b60
13133087a9b8
148d8b77cc8
1552797aa00
hex3155a2478

13243131000 has 192 divisors, whose sum is σ = 48831400800. Its totient is φ = 3210432000.

The previous prime is 13243130959. The next prime is 13243131007. The reversal of 13243131000 is 13134231.

13243131000 is a `hidden beast` number, since 1 + 324 + 31 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×132431310002 (a number of 21 digits) contains 22 as substring.

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 (13243131007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32116 + ... + 165884.

Almost surely, 213243131000 is an apocalyptic number.

13243131000 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 13243131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24415700400).

13243131000 is an abundant number, since it is smaller than the sum of its proper divisors (35588269800).

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

13243131000 is a wasteful number, since it uses less digits than its factorization.

13243131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133807 (or 133790 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13243131000 its reverse (13134231), we get a palindrome (13256265231).

The spelling of 13243131000 in words is "thirteen billion, two hundred forty-three million, one hundred thirty-one thousand".