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13031221330296 = 2333136417239857
BaseRepresentation
bin1011110110100001000101…
…0100011000000101111000
31201010202212012221102212000
42331220101110120011320
53202000420130032141
643414243242021000
72513321545465101
oct275502124300570
951122765842760
1013031221330296
114174567799304
1215656557a7760
13736aba0a2760
14330a007533a8
15178e8a6115b6
hexbda11518178

13031221330296 has 128 divisors (see below), whose sum is σ = 39043106222400. Its totient is φ = 4003350773760.

The previous prime is 13031221330289. The next prime is 13031221330363. The reversal of 13031221330296 is 69203312213031.

13031221330296 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 12 + 21 + 330 + 296 = 666.

It is a super-2 number, since 2×130312213302962 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13031221330296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1820001 + ... + 5419856.

Almost surely, 213031221330296 is an apocalyptic number.

It is an amenable number.

13031221330296 is an abundant number, since it is smaller than the sum of its proper divisors (26011884892104).

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

13031221330296 is a wasteful number, since it uses less digits than its factorization.

13031221330296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240526 (or 7240516 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 13031221330296 in words is "thirteen trillion, thirty-one billion, two hundred twenty-one million, three hundred thirty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 641 702 936 1282 1404 1923 2564 2808 3846 5128 5769 7692 8333 11538 15384 16666 17307 23076 24999 33332 34614 46152 49998 66664 69228 74997 99996 138456 149994 199992 224991 299988 449982 599976 899964 1799928 7239857 14479714 21719571 28959428 43439142 57918856 65158713 86878284 94118141 130317426 173756568 188236282 195476139 260634852 282354423 376472564 390952278 521269704 564708846 752945128 781904556 847063269 1129417692 1563809112 1694126538 2258835384 2541189807 3388253076 4640748337 5082379614 6776506152 9281496674 10164759228 13922245011 18562993348 20329518456 27844490022 37125986696 41766735033 55688980044 60329728381 83533470066 111377960088 120659456762 125300205099 167066940132 180989185143 241318913524 250600410198 334133880264 361978370286 482637827048 501200820396 542967555429 723956740572 1002401640792 1085935110858 1447913481144 1628902666287 2171870221716 3257805332574 4343740443432 6515610665148 13031221330296