Search a number
-
+
106226344012236 = 223717521142779647
BaseRepresentation
bin11000001001110010111111…
…100000000010100111001100
3111221010010202120001020200020
4120021302333200002213030
5102410403023031342421
61013531413031302140
731242412555051020
oct3011627740024714
9457103676036606
10106226344012236
1130935380975068
12bab746381a950
134737141606216
141c3354d766380
15c432ce884dc6
hex609cbf8029cc

106226344012236 has 96 divisors (see below), whose sum is σ = 300508896264192. Its totient is φ = 28510239713280.

The previous prime is 106226344012207. The next prime is 106226344012247. The reversal of 106226344012236 is 632210443622601.

It is a happy number.

It is a super-2 number, since 2×1062263440122362 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70645836 + ... + 72133811.

It is an arithmetic number, because the mean of its divisors is an integer number (3130301002752).

Almost surely, 2106226344012236 is an apocalyptic number.

It is an amenable number.

106226344012236 is an abundant number, since it is smaller than the sum of its proper divisors (194282552251956).

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

106226344012236 is a wasteful number, since it uses less digits than its factorization.

106226344012236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142780199 (or 142780197 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

Adding to 106226344012236 its reverse (632210443622601), we get a palindrome (738436787634837).

The spelling of 106226344012236 in words is "one hundred six trillion, two hundred twenty-six billion, three hundred forty-four million, twelve thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 521 714 1042 1428 1563 2084 3126 3647 6252 7294 8857 10941 14588 17714 21882 26571 35428 43764 53142 61999 106284 123998 185997 247996 371994 743988 142779647 285559294 428338941 571118588 856677882 999457529 1713355764 1998915058 2427253999 2998372587 3997830116 4854507998 5996745174 7281761997 9709015996 11993490348 14563523994 16990777993 29127047988 33981555986 50972333979 67963111972 74388196087 101944667958 148776392174 203889335916 223164588261 297552784348 446329176522 520717372609 892658353044 1041434745218 1264599333479 1562152117827 2082869490436 2529198666958 3124304235654 3793798000437 5058397333916 6248608471308 7587596000874 8852195334353 15175192001748 17704390668706 26556586003059 35408781337412 53113172006118 106226344012236