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130122141221031 = 3121335757664529
BaseRepresentation
bin11101100101100001101100…
…000000010100000010100111
3122001201112222202021012022220
4131211201230000110002213
5114023410121123033111
61140425141512123423
736260004651023001
oct3545415400240247
9561645882235286
10130122141221031
1138508543495403
1212716661996573
13577b60826093b
14241bd33a41371
151009b97509e06
hex76586c0140a7

130122141221031 has 8 divisors (see below), whose sum is σ = 173639218957680. Its totient is φ = 86676578815872.

The previous prime is 130122141220963. The next prime is 130122141221117.

130122141221031 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 130122141221031 - 211 = 130122141218983 is a prime.

It is a super-2 number, since 2×1301221412210312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130122141220992 and 130122141221010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122141220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17878828626 + ... + 17878835903.

It is an arithmetic number, because the mean of its divisors is an integer number (21704902369710).

Almost surely, 2130122141221031 is an apocalyptic number.

130122141221031 is a deficient number, since it is larger than the sum of its proper divisors (43517077736649).

130122141221031 is a wasteful number, since it uses less digits than its factorization.

130122141221031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35757665745.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 130122141221031 in words is "one hundred thirty trillion, one hundred twenty-two billion, one hundred forty-one million, two hundred twenty-one thousand, thirty-one".

Divisors: 1 3 1213 3639 35757664529 107272993587 43374047073677 130122141221031