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133222031302131 = 32155988311075171
BaseRepresentation
bin11110010010101000101011…
…110110100001110111110011
3122110200220100102100100122100
4132102220223312201313303
5114430202210003132011
61151201204542511443
740026655061662242
oct3622505366416763
9573626312310570
10133222031302131
11394a3167640512
1212b373a4895583
135944a25895ab5
1424c7da3144959
1510606264c4d56
hex792a2bda1df3

133222031302131 has 24 divisors (see below), whose sum is σ = 192577239429120. Its totient is φ = 88747585282800.

The previous prime is 133222031302123. The next prime is 133222031302159. The reversal of 133222031302131 is 131203130222331.

133222031302131 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 220 + 3 + 1 + 302 + 131 = 666.

It is not a de Polignac number, because 133222031302131 - 23 = 133222031302123 is a prime.

It is a super-2 number, since 2×1332220313021312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133222031302095 and 133222031302104.

It is not an unprimeable number, because it can be changed into a prime (133222031300131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123370176 + ... + 124445346.

It is an arithmetic number, because the mean of its divisors is an integer number (8024051642880).

Almost surely, 2133222031302131 is an apocalyptic number.

133222031302131 is a deficient number, since it is larger than the sum of its proper divisors (59355208126989).

133222031302131 is a wasteful number, since it uses less digits than its factorization.

133222031302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085567 (or 1085564 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133222031302131 its reverse (131203130222331), we get a palindrome (264425161524462).

The spelling of 133222031302131 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, thirty-one million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 1559 4677 8831 14031 26493 79479 1075171 3225513 9676539 13767529 41302587 123907761 1676191589 5028574767 9494835101 15085724301 28484505303 85453515909 14802447922459 44407343767377 133222031302131