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131122225542141 = 3347971492971353
BaseRepresentation
bin11101110100000101000101…
…101011001111001111111101
3122012021011101100100120122000
4131310011011223033033331
5114141301304214322031
61142512415134012513
736422160661343121
oct3564050553171775
9565234340316560
10131122225542141
1138863694a72a69
1212858448047139
135821a07b40612
1424544c7357581
151025bcb37a3e6
hex774145acf3fd

131122225542141 has 64 divisors (see below), whose sum is σ = 200449711795200. Its totient is φ = 84666059440128.

The previous prime is 131122225542109. The next prime is 131122225542173. The reversal of 131122225542141 is 141245522221131.

131122225542141 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 2 + 225 + 5 + 421 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (131122225542109) and next prime (131122225542173).

It is not a de Polignac number, because 131122225542141 - 25 = 131122225542109 is a prime.

It is a super-2 number, since 2×1311222255421412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131122225542096 and 131122225542105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122225542101) 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, 1837619721 + ... + 1837691073.

It is an arithmetic number, because the mean of its divisors is an integer number (3132026746800).

Almost surely, 2131122225542141 is an apocalyptic number.

It is an amenable number.

131122225542141 is a deficient number, since it is larger than the sum of its proper divisors (69327486253059).

131122225542141 is a wasteful number, since it uses less digits than its factorization.

131122225542141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86435 (or 86429 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Adding to 131122225542141 its reverse (141245522221131), we get a palindrome (272367747763272).

The spelling of 131122225542141 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, two hundred twenty-five million, five hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 9 27 47 97 141 291 423 873 1269 2619 4559 13677 14929 41031 44787 71353 123093 134361 214059 403083 642177 701663 1448113 1926531 2104989 3353591 4344339 6314967 6921241 10060773 13033017 18944901 20763723 30182319 39099051 62291169 68061311 90546957 186873507 204183933 325298327 612551799 975894981 1065228937 1837655397 2927684943 3195686811 8783054829 9587060433 28761181299 50065760039 103327206889 150197280117 309981620667 450591840351 929944862001 1351775521053 2789834586003 4856378723783 14569136171349 43707408514047 131122225542141