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122131230313033 = 2371202936860269
BaseRepresentation
bin11011110001001111100100…
…100110010100101001001001
3121000102122001102121111201201
4123301033210212110221021
5112001444224430004113
61111430151310544201
734503455512016104
oct3361174446245111
9530378042544651
10122131230313033
1135a07622614557
1211845a25b08061
13531bc05711636
14222327c56973b
15e1bda84bdcdd
hex6f13e4994a49

122131230313033 has 16 divisors (see below), whose sum is σ = 129299929516800. Its totient is φ = 115119040196160.

The previous prime is 122131230313019. The next prime is 122131230313049. The reversal of 122131230313033 is 330313032131221.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122131230313033 is a prime.

It is a super-2 number, since 2×1221312303130332 (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 = 122131230312992 and 122131230313010.

It is not an unprimeable number, because it can be changed into a prime (122131230313333) 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, 15116778 + ... + 21743491.

It is an arithmetic number, because the mean of its divisors is an integer number (8081245594800).

Almost surely, 2122131230313033 is an apocalyptic number.

It is an amenable number.

122131230313033 is a deficient number, since it is larger than the sum of its proper divisors (7168699203767).

122131230313033 is a wasteful number, since it uses less digits than its factorization.

122131230313033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36862392.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 122131230313033 its reverse (330313032131221), we get a palindrome (452444262444254).

The spelling of 122131230313033 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, two hundred thirty million, three hundred thirteen thousand, thirty-three".

Divisors: 1 23 71 1633 2029 46667 144059 3313357 36860269 847786187 2617079099 60192819277 74789485801 1720158173423 5310053491871 122131230313033