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313022321213130 = 233537179175047853
BaseRepresentation
bin100011100101100010011000…
…0010000110011111011001010
31112001022122022202202020012000
41013023010300100303323022
5312012024203212310010
63025424245201531430
7122635054632440544
oct10713046020637312
91461278282666160
10313022321213130
1190814025938aa1
122b1359a6043b76
1310587b55629649
14574250b134694
15262c6679237c0
hex11cb130433eca

313022321213130 has 128 divisors (see below), whose sum is σ = 862075671379200. Its totient is φ = 80762877764352.

The previous prime is 313022321213113. The next prime is 313022321213179. The reversal of 313022321213130 is 31312123220313.

313022321213130 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 2 + 2 + 321 + 21 + 313 + 0 = 666.

It is a super-4 number, since 4×3130223212131304 (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313022321213094 and 313022321213103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85735717 + ... + 89312136.

It is an arithmetic number, because the mean of its divisors is an integer number (6734966182650).

Almost surely, 2313022321213130 is an apocalyptic number.

313022321213130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313022321213130 is an abundant number, since it is smaller than the sum of its proper divisors (549053350166070).

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

313022321213130 is a wasteful number, since it uses less digits than its factorization.

313022321213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175048085 (or 175048079 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 313022321213130 its reverse (31312123220313), we get a palindrome (344334444433443).

The spelling of 313022321213130 in words is "three hundred thirteen trillion, twenty-two billion, three hundred twenty-one million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 179 185 222 270 333 358 370 537 555 666 895 999 1074 1110 1611 1665 1790 1998 2685 3222 3330 4833 4995 5370 6623 8055 9666 9990 13246 16110 19869 24165 33115 39738 48330 59607 66230 99345 119214 178821 198690 298035 357642 596070 894105 1788210 175047853 350095706 525143559 875239265 1050287118 1575430677 1750478530 2625717795 3150861354 4726292031 5251435590 6476770561 7877153385 9452584062 12953541122 15754306770 19430311683 23631460155 31333565687 32383852805 38860623366 47262920310 58290935049 62667131374 64767705610 94000697061 97151558415 116581870098 156667828435 174872805147 188001394122 194303116830 282002091183 291454675245 313335656870 349745610294 470003485305 564004182366 582909350490 846006273549 874364025735 940006970610 1159341930419 1410010455915 1692012547098 1748728051470 2318683860838 2820020911830 3478025791257 4230031367745 5796709652095 6956051582514 8460062735490 10434077373771 11593419304190 17390128956285 20868154747542 31302232121313 34780257912570 52170386868855 62604464242626 104340773737710 156511160606565 313022321213130