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12141530324 = 2271143191463
BaseRepresentation
bin10110100111011000…
…10000110011010100
31011100011102122110022
423103230100303110
5144331212432244
65324443044312
7606610206410
oct132354206324
934304378408
1012141530324
115170639490
12242a210698
1311b6589591
1483273dd40
154b0dca6ee
hex2d3b10cd4

12141530324 has 48 divisors (see below), whose sum is σ = 26552365056. Its totient is φ = 4719439200.

The previous prime is 12141530293. The next prime is 12141530377. The reversal of 12141530324 is 42303514121.

It is a happy number.

It is a super-2 number, since 2×121415303242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12141530293 and 12141530302.

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, 87017 + ... + 178479.

It is an arithmetic number, because the mean of its divisors is an integer number (553174272).

Almost surely, 212141530324 is an apocalyptic number.

12141530324 is a gapful number since it is divisible by the number (14) 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 12141530324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13276182528).

12141530324 is an abundant number, since it is smaller than the sum of its proper divisors (14410834732).

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

12141530324 is a wasteful number, since it uses less digits than its factorization.

12141530324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91916 (or 91914 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 12141530324 in words is "twelve billion, one hundred forty-one million, five hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 431 862 1724 3017 4741 6034 9482 12068 18964 33187 66374 91463 132748 182926 365852 640241 1006093 1280482 2012186 2560964 4024372 7042651 14085302 28170604 39420553 78841106 157682212 275943871 433626083 551887742 867252166 1103775484 1734504332 3035382581 6070765162 12141530324