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131222332423026 = 2341364849960829
BaseRepresentation
bin11101110101100010010100…
…100000101011101101110010
3122012121201202222010000220000
4131311202110200223231302
5114144421314100014101
61143030412435530430
736432333503652525
oct3565422440535562
9565551688100800
10131222332423026
11388a209576a279
1212873925759a16
13582b29c832790
1424592a267abbc
1510285d9b78486
hex77589482bb72

131222332423026 has 80 divisors (see below), whose sum is σ = 316658533191000. Its totient is φ = 40375437645312.

The previous prime is 131222332422943. The next prime is 131222332423027. The reversal of 131222332423026 is 620324233222131.

131222332423026 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 23 + 324 + 2 + 302 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92893839041025 + 38328493382001 = 9638145^2 + 6191001^2 .

It is a super-3 number, since 3×1312223324230263 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131222332423027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136091580 + ... + 137052408.

Almost surely, 2131222332423026 is an apocalyptic number.

131222332423026 is an abundant number, since it is smaller than the sum of its proper divisors (185436200767974).

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

131222332423026 is a wasteful number, since it uses less digits than its factorization.

131222332423026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025705 (or 1025696 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 131222332423026 its reverse (620324233222131), we get a palindrome (751546565645157).

The spelling of 131222332423026 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, three hundred thirty-two million, four hundred twenty-three thousand, twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 64849 129698 194547 389094 583641 843037 960829 1167282 1686074 1750923 1921658 2529111 2882487 3501846 5058222 5252769 5764974 7587333 8647461 10505538 12490777 15174666 17294922 22761999 24981554 25942383 37472331 45523998 51884766 68285997 74944662 77827149 112416993 136571994 155654298 224833986 337250979 674501958 1011752937 2023505874 62308799821 124617599642 186926399463 373852798926 560779198389 810014397673 1121558396778 1620028795346 1682337595167 2430043193019 3364675190334 4860086386038 5047012785501 7290129579057 10094025571002 14580259158114 21870388737171 43740777474342 65611166211513 131222332423026