Search a number
-
+
122331212202031 = 7172935448047581
BaseRepresentation
bin11011110100001001110100…
…011100101100000000101111
3121001010202020111211001121021
4123310021310130230000233
5112013233310310431111
61112102103312515011
734524065323022260
oct3364116434540057
9531122214731537
10122331212202031
1135a84415135688
121187873754ba67
135334a2605c131
14222cc10094967
15e221b0066d71
hex6f427472c02f

122331212202031 has 16 divisors (see below), whose sum is σ = 153135565554240. Its totient is φ = 95284351895040.

The previous prime is 122331212201987. The next prime is 122331212202181. The reversal of 122331212202031 is 130202212133221.

It is not a de Polignac number, because 122331212202031 - 219 = 122331211677743 is a prime.

It is a super-2 number, since 2×1223312122020312 (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 = 122331212201987 and 122331212202005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122331212200031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17724020340 + ... + 17724027241.

It is an arithmetic number, because the mean of its divisors is an integer number (9570972847140).

Almost surely, 2122331212202031 is an apocalyptic number.

122331212202031 is a deficient number, since it is larger than the sum of its proper divisors (30804353352209).

122331212202031 is a wasteful number, since it uses less digits than its factorization.

122331212202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35448047634.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122331212202031 its reverse (130202212133221), we get a palindrome (252533424335252).

The spelling of 122331212202031 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, two hundred twelve million, two hundred two thousand, thirty-one".

Divisors: 1 7 17 29 119 203 493 3451 35448047581 248136333067 602616808877 1027993379849 4218317662139 7195953658943 17475887457433 122331212202031