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613130323031316 = 2232367169327411151
BaseRepresentation
bin1000101101101000111000011…
…1000110101111010100010100
32222101220200112102011122021100
42023122032013012233110110
51120331011400144000231
610012004103143550100
7243101126656441266
oct21332160706572424
92871820472148240
10613130323031316
111683a9123092aa2
125892492075b330
1320416c3126c74c
14ab59947609b36
154ad3dd7c261e6
hex22da3871af514

613130323031316 has 72 divisors (see below), whose sum is σ = 1554998250950144. Its totient is φ = 203699492193600.

The previous prime is 613130323031297. The next prime is 613130323031327.

613130323031316 is a `hidden beast` number, since 6 + 1 + 3 + 1 + 3 + 0 + 32 + 303 + 1 + 316 = 666.

613130323031316 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6131303230313162 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8662341 + ... + 36073491.

Almost surely, 2613130323031316 is an apocalyptic number.

It is an amenable number.

613130323031316 is an abundant number, since it is smaller than the sum of its proper divisors (941867927918828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

613130323031316 is a wasteful number, since it uses less digits than its factorization.

613130323031316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27413221 (or 27413216 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 613130323031316 in words is "six hundred thirteen trillion, one hundred thirty billion, three hundred twenty-three million, thirty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 367 734 1101 1468 1693 2202 3303 3386 4404 5079 6606 6772 10158 13212 15237 20316 30474 60948 621331 1242662 1863993 2485324 3727986 5591979 7455972 11183958 22367916 27411151 54822302 82233453 109644604 164466906 246700359 328933812 493400718 986801436 10059892417 20119784834 30179677251 40239569668 46407078643 60359354502 90539031753 92814157286 120718709004 139221235929 181078063506 185628314572 278442471858 362156127012 417663707787 556884943716 835327415574 1670654831148 17031397861981 34062795723962 51094193585943 68125591447924 102188387171886 153282580757829 204376774343772 306565161515658 613130323031316