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12131000010 = 2325389346501
BaseRepresentation
bin10110100110001000…
…00101111011001010
31011022102121122120200
423103010011323022
5144321014000020
65323425233030
7606421540653
oct132304057312
934272548520
1012131000010
1151656a6948
122426792776
1311b434051c
1483119c52a
154aeeea590
hex2d3105eca

12131000010 has 48 divisors (see below), whose sum is σ = 31621772520. Its totient is φ = 3226608000.

The previous prime is 12130999981. The next prime is 12131000069. The reversal of 12131000010 is 1000013121.

It can be written as a sum of positive squares in 4 ways, for example, as 10062296721 + 2068703289 = 100311^2 + 45483^2 .

It is a super-2 number, since 2×121310000102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12130999956 and 12131000001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138241 + ... + 208260.

Almost surely, 212131000010 is an apocalyptic number.

12131000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12131000010 is an abundant number, since it is smaller than the sum of its proper divisors (19490772510).

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

12131000010 is a wasteful number, since it uses less digits than its factorization.

12131000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346903 (or 346900 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12131000010 its reverse (1000013121), we get a palindrome (13131013131).

The spelling of 12131000010 in words is "twelve billion, one hundred thirty-one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 389 778 1167 1945 2334 3501 3890 5835 7002 11670 17505 35010 346501 693002 1039503 1732505 2079006 3118509 3465010 5197515 6237018 10395030 15592545 31185090 134788889 269577778 404366667 673944445 808733334 1213100001 1347888890 2021833335 2426200002 4043666670 6065500005 12131000010