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12130132434 = 2371731753593
BaseRepresentation
bin10110100110000001…
…10010000111010010
31011022100222120111020
423103000302013102
5144320303214214
65323354500310
7606411265410
oct132300620722
934270876436
1012130132434
115165164042
122426434696
1311b40c8674
148310142b0
154aedc84a9
hex2d30321d2

12130132434 has 64 divisors (see below), whose sum is σ = 29450117376. Its totient is φ = 3251533824.

The previous prime is 12130132433. The next prime is 12130132439. The reversal of 12130132434 is 43423103121.

It is a happy number.

It is a super-2 number, since 2×121301324342 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12130132433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199542 + ... + 253134.

It is an arithmetic number, because the mean of its divisors is an integer number (460158084).

Almost surely, 212130132434 is an apocalyptic number.

12130132434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12130132434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725058688).

12130132434 is an abundant number, since it is smaller than the sum of its proper divisors (17319984942).

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

12130132434 is a wasteful number, since it uses less digits than its factorization.

12130132434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53939.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12130132434 its reverse (43423103121), we get a palindrome (55553235555).

It can be divided in two parts, 121301 and 32434, that added together give a triangular number (153735 = T554).

The spelling of 12130132434 in words is "twelve billion, one hundred thirty million, one hundred thirty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 317 357 634 714 951 1902 2219 4438 5389 6657 10778 13314 16167 32334 37723 53593 75446 107186 113169 160779 226338 321558 375151 750302 911081 1125453 1822162 2250906 2733243 5466486 6377567 12755134 16988981 19132701 33977962 38265402 50966943 101933886 118922867 237845734 288812677 356768601 577625354 713537202 866438031 1732876062 2021688739 4043377478 6065066217 12130132434