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122132241230431 = 1772733912914199
BaseRepresentation
bin11011110001010000100000…
…110110101010101001011111
3121000102201122212211102200211
4123301100200312222221133
5112002003312223333211
61111430435502233251
734503522535460125
oct3361204066525137
9530381585742624
10122132241230431
1135a07aa1214783
1211846068585827
13531c036ca1b03
142223336919915
15e1be17109e21
hex6f1420daaa5f

122132241230431 has 16 divisors (see below), whose sum is σ = 129532599705600. Its totient is φ = 114755988251520.

The previous prime is 122132241230353. The next prime is 122132241230471. The reversal of 122132241230431 is 134032142231221.

It is a cyclic number.

It is not a de Polignac number, because 122132241230431 - 211 = 122132241228383 is a prime.

It is a super-2 number, since 2×1221322412304312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122132241230393 and 122132241230402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132241230471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40452270 + ... + 43366468.

It is an arithmetic number, because the mean of its divisors is an integer number (8095787481600).

Almost surely, 2122132241230431 is an apocalyptic number.

122132241230431 is a deficient number, since it is larger than the sum of its proper divisors (7400358475169).

122132241230431 is a wasteful number, since it uses less digits than its factorization.

122132241230431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918334.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 122132241230431 its reverse (134032142231221), we get a palindrome (256164383461652).

The spelling of 122132241230431 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, two hundred forty-one million, two hundred thirty thousand, four hundred thirty-one".

Divisors: 1 17 727 3391 12359 57647 2465257 2914199 41909369 49541383 2118622673 9882048809 36016585441 167994829753 7184249484143 122132241230431