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13411500500106 = 23219239886118517
BaseRepresentation
bin1100001100101001101110…
…1110010010010010001010
31202111010102112021211120200
43003022123232102102022
53224213223112000411
644305054104233030
72552643325214262
oct303123356222212
952433375254520
1013411500500106
114300870439035
1216072a446b776
13763911b1c9b7
143451977407a2
15183ce5a35e56
hexc329bb9248a

13411500500106 has 96 divisors (see below), whose sum is σ = 30720739795200. Its totient is φ = 4216786439040.

The previous prime is 13411500500053. The next prime is 13411500500117. The reversal of 13411500500106 is 60100500511431.

13411500500106 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 1 + 50 + 0 + 500 + 106 = 666.

It is a super-2 number, since 2×134115005001062 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13411500500106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724271160 + ... + 724289676.

It is an arithmetic number, because the mean of its divisors is an integer number (320007706200).

Almost surely, 213411500500106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13411500500106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15360369897600).

13411500500106 is an abundant number, since it is smaller than the sum of its proper divisors (17309239295094).

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

13411500500106 is a wasteful number, since it uses less digits than its factorization.

13411500500106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27644 (or 27641 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 13411500500106 in words is "thirteen trillion, four hundred eleven billion, five hundred million, five hundred thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 239 342 478 717 1434 2151 4302 4541 8861 9082 13623 17722 18517 26583 27246 37034 40869 53166 55551 79749 81738 111102 159498 166653 168359 333306 336718 351823 505077 703646 1010154 1055469 1515231 2110938 2117779 3030462 3166407 4235558 4425563 6332814 6353337 8851126 12706674 13276689 19060011 26553378 38120022 39830067 40237801 79660134 80475602 84085697 120713403 164079137 168171394 241426806 252257091 328158274 362140209 492237411 504514182 724280418 756771273 984474822 1476712233 1513542546 2953424466 3117503603 6235007206 9352510809 18705021618 28057532427 39214913743 56115064854 78429827486 117644741229 235289482458 352934223687 705868447374 745083361117 1490166722234 2235250083351 4470500166702 6705750250053 13411500500106