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12141311310 = 2325337400307
BaseRepresentation
bin10110100111010110…
…11011010101001110
31011100011000112000200
423103223123111032
5144331133430220
65324434234330
7606605305032
oct132353332516
934304015020
1012141311310
1151704a9987
12242a1259a6
1311b651099b
148326c41c2
154b0d85890
hex2d3adb54e

12141311310 has 48 divisors (see below), whose sum is σ = 31661160336. Its totient is φ = 3228067584.

The previous prime is 12141311291. The next prime is 12141311317. The reversal of 12141311310 is 1311314121.

It is a happy number.

12141311310 is a `hidden beast` number, since 1 + 2 + 1 + 41 + 311 + 310 = 666.

It is a super-2 number, since 2×121413113102 (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 (12141311317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169824 + ... + 230483.

It is an arithmetic number, because the mean of its divisors is an integer number (659607507).

Almost surely, 212141311310 is an apocalyptic number.

12141311310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12141311310 is an abundant number, since it is smaller than the sum of its proper divisors (19519849026).

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

12141311310 is a wasteful number, since it uses less digits than its factorization.

12141311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400657 (or 400654 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12141311310 its reverse (1311314121), we get a palindrome (13452625431).

The spelling of 12141311310 in words is "twelve billion, one hundred forty-one million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 337 674 1011 1685 2022 3033 3370 5055 6066 10110 15165 30330 400307 800614 1200921 2001535 2401842 3602763 4003070 6004605 7205526 12009210 18013815 36027630 134903459 269806918 404710377 674517295 809420754 1214131131 1349034590 2023551885 2428262262 4047103770 6070655655 12141311310