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130301320323122 = 213137233331347389
BaseRepresentation
bin11101101000001000100011…
…111010010110000000110010
3122002100200111001100200100022
4131220020203322112000302
5114034324101000314442
61141043333350123442
736305650121200514
oct3550104372260062
9562320431320308
10130301320323122
1138577530412863
1212745328650582
135792491ab6280
1424268907d1bb4
15100e682b0e3d2
hex768223e96032

130301320323122 has 64 divisors (see below), whose sum is σ = 213001885081440. Its totient is φ = 59424679378944.

The previous prime is 130301320323113. The next prime is 130301320323149. The reversal of 130301320323122 is 221323023103031.

It can be written as a sum of positive squares in 16 ways, for example, as 40848047881 + 130260472275241 = 202109^2 + 11413171^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 130301320323091 and 130301320323100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2749587404 + ... + 2749634792.

Almost surely, 2130301320323122 is an apocalyptic number.

130301320323122 is a deficient number, since it is larger than the sum of its proper divisors (82700564758318).

130301320323122 is a wasteful number, since it uses less digits than its factorization.

130301320323122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51087.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 130301320323122 its reverse (221323023103031), we get a palindrome (351624343426153).

The spelling of 130301320323122 in words is "one hundred thirty trillion, three hundred one billion, three hundred twenty million, three hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 13 26 137 233 274 466 1781 3029 3313 3562 6058 6626 31921 43069 47389 63842 86138 94778 414973 453881 616057 771929 829946 907762 1232114 1543858 5900453 6492293 10035077 11041637 11800906 12984586 20070154 22083274 84399809 105754273 143541281 156999757 168799618 211508546 287082562 313999514 1374805549 1512704269 2040996841 2749611098 3025408538 4081993682 19665155497 21508966709 36580943381 39330310994 43017933418 73161886762 279616567217 475552263953 559233134434 951104527906 5011589243197 10023178486394 65150660161561 130301320323122