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1313104442420 = 225314123673433
BaseRepresentation
bin10011000110111011000…
…111111011010000110100
311122112100111200002202102
4103012323013323100310
5133003214214124140
62443122025201232
7163603644413021
oct23067307732064
94575314602672
101313104442420
114669802527a1
121925a4030218
1396a96006994
14477a9b40548
1524254607e15
hex131bb1fb434

1313104442420 has 144 divisors (see below), whose sum is σ = 2926393042944. Its totient is φ = 494405683200.

The previous prime is 1313104442369. The next prime is 1313104442443. The reversal of 1313104442420 is 242444013131.

It is a congruent number.

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, 382493024 + ... + 382496456.

Almost surely, 21313104442420 is an apocalyptic number.

1313104442420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313104442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463196521472).

1313104442420 is an abundant number, since it is smaller than the sum of its proper divisors (1613288600524).

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

1313104442420 is a wasteful number, since it uses less digits than its factorization.

1313104442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1313104442420 its reverse (242444013131), we get a palindrome (1555548455551).

The spelling of 1313104442420 in words is "one trillion, three hundred thirteen billion, one hundred four million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 367 410 620 734 820 1271 1468 1681 1835 2542 3362 3433 3670 5084 6355 6724 6866 7340 8405 11377 12710 13732 15047 16810 17165 22754 25420 30094 33620 34330 45508 52111 56885 60188 68660 75235 104222 106423 113770 140753 150470 208444 212846 227540 260555 281506 300940 425692 466457 521110 532115 563012 616927 703765 932914 1042220 1064230 1233854 1259911 1407530 1865828 2128460 2332285 2467708 2519822 2815060 3084635 4363343 4664570 5039644 5770873 6169270 6299555 8726686 9329140 11541746 12338540 12599110 17453372 19124737 21816715 23083492 25198220 28854365 38249474 39057241 43633430 51656351 57708730 76498948 78114482 87266860 95623685 103312702 115417460 156228964 178897063 191247370 195286205 206625404 258281755 357794126 382494740 390572410 516563510 715588252 781144820 894485315 1033127020 1601346881 1788970630 2117910391 3202693762 3577941260 4235820782 6405387524 8006734405 8471641564 10589551955 16013468810 21179103910 32026937620 42358207820 65655222121 131310444242 262620888484 328276110605 656552221210 1313104442420