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13131210000 = 243541672621
BaseRepresentation
bin11000011101010111…
…00101110100010000
31020220010200120202010
430032223211310100
5203343042210000
610010555222520
7643255305036
oct141653456420
936803616663
1013131210000
115629253477
122665747a40
13131362215c
148c7d62556
1551cc1dd50
hex30eae5d10

13131210000 has 200 divisors, whose sum is σ = 42659394624. Its totient is φ = 3479360000.

The previous prime is 13131209981. The next prime is 13131210013. The reversal of 13131210000 is 1213131.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5008690 + ... + 5011310.

Almost surely, 213131210000 is an apocalyptic number.

13131210000 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 13131210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21329697312).

13131210000 is an abundant number, since it is smaller than the sum of its proper divisors (29528184624).

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

13131210000 is a wasteful number, since it uses less digits than its factorization.

13131210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13131210000 its reverse (1213131), we get a palindrome (13132423131).

The spelling of 13131210000 in words is "thirteen billion, one hundred thirty-one million, two hundred ten thousand".