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130303122131133 = 32746712277360749
BaseRepresentation
bin11101101000001010001111…
…010011101100100010111101
3122002100212010121210000021100
4131220022033103230202331
5114034341243231144013
61141044232233123313
736306042560255220
oct3550121723544275
9562325117700240
10130303122131133
11385782754a1896
121274574bb59539
1357926bb18a263
1424269c1c195b7
15100e73adc3473
hex76828f4ec8bd

130303122131133 has 48 divisors (see below), whose sum is σ = 215582329872000. Its totient is φ = 74293228107648.

The previous prime is 130303122131113. The next prime is 130303122131179. The reversal of 130303122131133 is 331131221303031.

130303122131133 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 0 + 312 + 2 + 1 + 311 + 33 = 666.

It is not a de Polignac number, because 130303122131133 - 224 = 130303105353917 is a prime.

It is a super-2 number, since 2×1303031221311332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130303122131097 and 130303122131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130303122131113) 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, 361021243 + ... + 361381991.

It is an arithmetic number, because the mean of its divisors is an integer number (4491298539000).

Almost surely, 2130303122131133 is an apocalyptic number.

It is an amenable number.

130303122131133 is a deficient number, since it is larger than the sum of its proper divisors (85279207740867).

130303122131133 is a wasteful number, since it uses less digits than its factorization.

130303122131133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373506 (or 373503 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 130303122131133 its reverse (331131221303031), we get a palindrome (461434343434164).

The spelling of 130303122131133 in words is "one hundred thirty trillion, three hundred three billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 63 467 1401 3269 4203 9807 12277 29421 36831 85939 110493 257817 360749 773451 1082247 2525243 3246741 5733359 7575729 17200077 22727187 40133513 51600231 120400539 168469783 361201617 505409349 1179288481 1516228047 3537865443 4428915473 10613596329 13286746419 31002408311 39860239257 93007224933 279021674799 2068303525891 6204910577673 14478124681237 18614731733019 43434374043711 130303122131133