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130013122421 = 7213317390191
BaseRepresentation
bin111100100010101100…
…0101100111101110101
3110102120211121221012102
41321011120230331311
54112231324404141
6135421024231445
712251563210100
oct1710530547565
9412524557172
10130013122421
1150158022206
122124516b585
13c34c81a690
146415123737
1535ae0a699b
hex1e4562cf75

130013122421 has 48 divisors (see below), whose sum is σ = 170432575488. Its totient is φ = 98184441600.

The previous prime is 130013122411. The next prime is 130013122471. The reversal of 130013122421 is 124221310031.

It is not a de Polignac number, because 130013122421 - 26 = 130013122357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130013122393 and 130013122402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013122411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1396436 + ... + 1486626.

It is an arithmetic number, because the mean of its divisors is an integer number (3550678656).

Almost surely, 2130013122421 is an apocalyptic number.

It is an amenable number.

130013122421 is a deficient number, since it is larger than the sum of its proper divisors (40419453067).

130013122421 is a wasteful number, since it uses less digits than its factorization.

130013122421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90322 (or 90315 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 130013122421 its reverse (124221310031), we get a palindrome (254234432452).

The spelling of 130013122421 in words is "one hundred thirty billion, thirteen million, one hundred twenty-two thousand, four hundred twenty-one".

Divisors: 1 7 13 31 49 73 91 217 403 511 637 949 1519 2263 2821 3577 6643 15841 19747 29419 46501 90191 110887 205933 631337 1172483 1441531 2795921 4419359 6583943 8207381 19571447 36346973 46087601 57451667 85591259 137000129 204102233 254428811 322613207 599138813 1428715631 1781001677 2653329029 4193971691 10001009417 18573303203 130013122421