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131422322415105 = 3252920496053669
BaseRepresentation
bin11101111000011100100100…
…110101111101011000000001
3122020022211222121120021002200
4131320130210311331120001
5114211210404014240410
61143302325331303413
736452643443565111
oct3570344465753001
9566284877507080
10131422322415105
1138969991915367
12128a6639a4ab69
1358440c1a595b7
142464c352b5041
15102d8e22c23c0
hex778724d7d601

131422322415105 has 12 divisors (see below), whose sum is σ = 227798692186260. Its totient is φ = 70091905288032.

The previous prime is 131422322414869. The next prime is 131422322415149. The reversal of 131422322415105 is 501514223224131.

131422322415105 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 232 + 2 + 415 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46203871859649 + 85218450555456 = 6797343^2 + 9231384^2 .

It is not a de Polignac number, because 131422322415105 - 210 = 131422322414081 is a prime.

It is a super-2 number, since 2×1314223224151052 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131422322415105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1460248026790 + ... + 1460248026879.

It is an arithmetic number, because the mean of its divisors is an integer number (18983224348855).

Almost surely, 2131422322415105 is an apocalyptic number.

131422322415105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131422322415105 is a deficient number, since it is larger than the sum of its proper divisors (96376369771155).

131422322415105 is a wasteful number, since it uses less digits than its factorization.

131422322415105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920496053680 (or 2920496053677 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 131422322415105 its reverse (501514223224131), we get a palindrome (632936545639236).

The spelling of 131422322415105 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, three hundred twenty-two million, four hundred fifteen thousand, one hundred five".

Divisors: 1 3 5 9 15 45 2920496053669 8761488161007 14602480268345 26284464483021 43807440805035 131422322415105