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12130341432 = 23311172702839
BaseRepresentation
bin10110100110000011…
…00101001000111000
31011022101101012011220
423103001211020320
5144320331411212
65323403152040
7606413125626
oct132301451070
934271335156
1012130341432
115165297070
122426515620
1311b416c831
1483106a516
154aee1a38c
hex2d3065238

12130341432 has 64 divisors (see below), whose sum is σ = 35028806400. Its totient is φ = 3459632640.

The previous prime is 12130341407. The next prime is 12130341481. The reversal of 12130341432 is 23414303121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1346932 + ... + 1355907.

It is an arithmetic number, because the mean of its divisors is an integer number (547325100).

Almost surely, 212130341432 is an apocalyptic number.

12130341432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12130341432 is an abundant number, since it is smaller than the sum of its proper divisors (22898464968).

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

12130341432 is a wasteful number, since it uses less digits than its factorization.

12130341432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702876 (or 2702872 counting only the distinct ones).

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

Adding to 12130341432 its reverse (23414303121), we get a palindrome (35544644553).

It can be divided in two parts, 121303 and 41432, that added together give a triangular number (162735 = T570).

The spelling of 12130341432 in words is "twelve billion, one hundred thirty million, three hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 2702839 5405678 8108517 10811356 16217034 21622712 29731229 32434068 45948263 59462458 64868136 89193687 91896526 118924916 137844789 178387374 183793052 237849832 275689578 356774748 367586104 505430893 551379156 713549496 1010861786 1102758312 1516292679 2021723572 3032585358 4043447144 6065170716 12130341432