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412243313130 = 2325112231645879
BaseRepresentation
bin1011111111110111001…
…11011100000111101010
31110102001221112010012200
411333323213130013222
523223233242010010
6513214300521030
741532526226325
oct5777347340752
91412057463180
10412243313130
1114991666a800
1267a8b550176
132cb4a013a1c
1415d4a2397bc
15aacb6cbcc0
hex5ffb9dc1ea

412243313130 has 144 divisors (see below), whose sum is σ = 1229353856640. Its totient is φ = 95592594240.

The previous prime is 412243313117. The next prime is 412243313189. The reversal of 412243313130 is 31313342214.

It is a happy number.

412243313130 is a `hidden beast` number, since 4 + 12 + 2 + 4 + 331 + 313 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 412243313094 and 412243313103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 572470 + ... + 1073409.

It is an arithmetic number, because the mean of its divisors is an integer number (8537179560).

Almost surely, 2412243313130 is an apocalyptic number.

412243313130 is an abundant number, since it is smaller than the sum of its proper divisors (817110543510).

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

412243313130 is a wasteful number, since it uses less digits than its factorization.

412243313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645937 (or 1645923 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 412243313130 its reverse (31313342214), we get a palindrome (443556655344).

The spelling of 412243313130 in words is "four hundred twelve billion, two hundred forty-three million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 121 138 165 198 207 230 242 253 330 345 363 414 495 506 605 690 726 759 990 1035 1089 1210 1265 1518 1815 2070 2178 2277 2530 2783 3630 3795 4554 5445 5566 7590 8349 10890 11385 13915 16698 22770 25047 27830 41745 50094 83490 125235 250470 1645879 3291758 4937637 8229395 9875274 14812911 16458790 18104669 24688185 29625822 36209338 37855217 49376370 54314007 74064555 75710434 90523345 108628014 113565651 148129110 162942021 181046690 189276085 199151359 227131302 271570035 325884042 340696953 378552170 398302718 416407387 543140070 567828255 597454077 681393906 814710105 832814774 995756795 1135656510 1194908154 1249222161 1629420210 1703484765 1792362231 1991513590 2082036935 2498444322 2987270385 3406969530 3584724462 3747666483 4164073870 4580481257 5974540770 6246110805 7495332966 8961811155 9160962514 12492221610 13741443771 17923622310 18738332415 22902406285 27482887542 37476664830 41224331313 45804812570 68707218855 82448662626 137414437710 206121656565 412243313130