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12131004144 = 2437109331231
BaseRepresentation
bin10110100110001000…
…00110111011110000
31011022102121212020210
423103010012323300
5144321014113034
65323425304120
7606421556010
oct132304067360
934272555223
1012131004144
1151656a9a66
122426795040
1311b434237c
1483119dc40
154aeeeb8e9
hex2d3106ef0

12131004144 has 80 divisors (see below), whose sum is σ = 36144035840. Its totient is φ = 3434192640.

The previous prime is 12131004131. The next prime is 12131004161. The reversal of 12131004144 is 44140013121.

It is a super-2 number, since 2×121310041442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12131004144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128992 + ... + 202239.

It is an arithmetic number, because the mean of its divisors is an integer number (451800448).

Almost surely, 212131004144 is an apocalyptic number.

12131004144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12131004144 is an abundant number, since it is smaller than the sum of its proper divisors (24013031696).

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

12131004144 is a wasteful number, since it uses less digits than its factorization.

12131004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331358 (or 331352 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12131004144 its reverse (44140013121), we get a palindrome (56271017265).

The spelling of 12131004144 in words is "twelve billion, one hundred thirty-one million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 654 763 872 1308 1526 1744 2289 2616 3052 4578 5232 6104 9156 12208 18312 36624 331231 662462 993693 1324924 1987386 2318617 2649848 3974772 4637234 5299696 6955851 7949544 9274468 13911702 15899088 18548936 27823404 36104179 37097872 55646808 72208358 108312537 111293616 144416716 216625074 252729253 288833432 433250148 505458506 577666864 758187759 866500296 1010917012 1516375518 1733000592 2021834024 3032751036 4043668048 6065502072 12131004144