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412322410100020 = 225729432361796369
BaseRepresentation
bin101110111000000010100101…
…0110010010111010100110100
32000001220122012200211021121211
41131300011022302113110310
5413020442243441200040
64020534144504251204
7152564211461405050
oct13560051262272464
92001818180737554
10412322410100020
1110a418a52307612
123a2b2a18a70b04
131490bab4857a44
1473b672277cc60
1532a06bad478ea
hex177014ac97534

412322410100020 has 96 divisors (see below), whose sum is σ = 1047503926022400. Its totient is φ = 133318681380864.

The previous prime is 412322410100017. The next prime is 412322410100059. The reversal of 412322410100020 is 20001014223214.

It is a junction number, because it is equal to n+sod(n) for n = 412322410099964 and 412322410100000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180723605 + ... + 1181072764.

It is an arithmetic number, because the mean of its divisors is an integer number (10911499229400).

Almost surely, 2412322410100020 is an apocalyptic number.

It is an amenable number.

412322410100020 is an abundant number, since it is smaller than the sum of its proper divisors (635181515922380).

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

412322410100020 is a wasteful number, since it uses less digits than its factorization.

412322410100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361796457 (or 2361796455 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 412322410100020 its reverse (20001014223214), we get a palindrome (432323424323234).

The spelling of 412322410100020 in words is "four hundred twelve trillion, three hundred twenty-two billion, four hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 43 58 70 86 116 140 145 172 203 215 290 301 406 430 580 602 812 860 1015 1204 1247 1505 2030 2494 3010 4060 4988 6020 6235 8729 12470 17458 24940 34916 43645 87290 174580 2361796369 4723592738 9447185476 11808981845 16532574583 23617963690 33065149166 47235927380 66130298332 68492094701 82662872915 101557243867 136984189402 165325745830 203114487734 273968378804 330651491660 342460473505 406228975468 479444662907 507786219335 684920947010 710900707069 958889325814 1015572438670 1369841894020 1421801414138 1917778651628 2031144877340 2397223314535 2843602828276 2945160072143 3554503535345 4794446629070 5890320144286 7109007070690 9588893258140 11780640288572 14218014141380 14725800360715 20616120505001 29451600721430 41232241010002 58903201442860 82464482020004 103080602525005 206161205050010 412322410100020