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130121330031 = 32711187765267
BaseRepresentation
bin111100100101111010…
…1011110110101101111
3110102212101020110010200
41321023311132311233
54112442030030111
6135435451404543
712254346025140
oct1711365366557
9412771213120
10130121330031
115020310a190
1221275453753
13c369075c54
14642564dac7
1535b882d256
hex1e4bd5ed6f

130121330031 has 24 divisors (see below), whose sum is σ = 234331054464. Its totient is φ = 67595495760.

The previous prime is 130121330023. The next prime is 130121330041. The reversal of 130121330031 is 130033121031.

It is a happy number.

130121330031 is a `hidden beast` number, since 1 + 301 + 2 + 1 + 330 + 0 + 31 = 666.

It is not a de Polignac number, because 130121330031 - 23 = 130121330023 is a prime.

It is a super-2 number, since 2×1301213300312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130121329986 and 130121330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130121330041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93881941 + ... + 93883326.

It is an arithmetic number, because the mean of its divisors is an integer number (9763793936).

Almost surely, 2130121330031 is an apocalyptic number.

130121330031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130121330031 is a deficient number, since it is larger than the sum of its proper divisors (104209724433).

130121330031 is a wasteful number, since it uses less digits than its factorization.

130121330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187765291 (or 187765288 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130121330031 its reverse (130033121031), we get a palindrome (260154451062).

The spelling of 130121330031 in words is "one hundred thirty billion, one hundred twenty-one million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 187765267 563295801 1314356869 1689887403 2065417937 3943070607 6196253811 11829211821 14457925559 18588761433 43373776677 130121330031