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12130431141 = 31729131137457
BaseRepresentation
bin10110100110000011…
…11011000010100101
31011022101112202020110
423103001323002211
5144320342244031
65323405123233
7606413651313
oct132301730245
934271482213
1012130431141
115165348504
122426559519
1311b41a160a
148310910b3
154aee36c46
hex2d307b0a5

12130431141 has 64 divisors (see below), whose sum is σ = 18020724480. Its totient is φ = 7223623680.

The previous prime is 12130431139. The next prime is 12130431191. The reversal of 12130431141 is 14113403121.

It is not a de Polignac number, because 12130431141 - 21 = 12130431139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130431101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26543385 + ... + 26543841.

It is an arithmetic number, because the mean of its divisors is an integer number (281573820).

Almost surely, 212130431141 is an apocalyptic number.

It is an amenable number.

12130431141 is a deficient number, since it is larger than the sum of its proper divisors (5890293339).

12130431141 is a wasteful number, since it uses less digits than its factorization.

12130431141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12130431141 its reverse (14113403121), we get a palindrome (26243834262).

The spelling of 12130431141 in words is "twelve billion, one hundred thirty million, four hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 17 29 51 87 131 137 393 411 457 493 1371 1479 2227 2329 3799 3973 6681 6987 7769 11397 11919 13253 17947 23307 39759 53841 59867 62609 64583 67541 179601 187827 193749 202623 225301 305099 520463 675903 915297 1017739 1064353 1561389 1736143 1815661 3053217 3193059 5208429 5446983 8201779 8847871 24605337 26543613 29514431 30866237 88543293 92598711 139430243 237851591 418290729 713554773 4043477047 12130431141