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2200120212108 = 2237213417020077
BaseRepresentation
bin100000000001000001011…
…000100011101010001100
321210022220011022221110210
4200001001120203222030
5242021321233241413
64402415443402420
7314645013145500
oct40010130435214
97708804287423
102200120212108
1177907a559135
122b6493983410
1312c616752b70
14786b4904300
153c36bc9a3c3
hex20041623a8c

2200120212108 has 144 divisors (see below), whose sum is σ = 6587978158944. Its totient is φ = 566098928640.

The previous prime is 2200120212107. The next prime is 2200120212109. The reversal of 2200120212108 is 8012120210022.

It is an interprime number because it is at equal distance from previous prime (2200120212107) and next prime (2200120212109).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2200120212107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3196635 + ... + 3823442.

It is an arithmetic number, because the mean of its divisors is an integer number (45749848326).

Almost surely, 22200120212108 is an apocalyptic number.

2200120212108 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2200120212108 is an abundant number, since it is smaller than the sum of its proper divisors (4387857946836).

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

2200120212108 is a wasteful number, since it uses less digits than its factorization.

2200120212108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020152 (or 7020143 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 2200120212108 in words is "two trillion, two hundred billion, one hundred twenty million, two hundred twelve thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 49 52 78 82 84 91 98 123 147 156 164 182 196 246 273 287 294 364 492 533 546 574 588 637 861 1066 1092 1148 1274 1599 1722 1911 2009 2132 2548 3198 3444 3731 3822 4018 6027 6396 7462 7644 8036 11193 12054 14924 22386 24108 26117 44772 52234 78351 104468 156702 313404 7020077 14040154 21060231 28080308 42120462 49140539 84240924 91261001 98281078 147421617 182522002 196562156 273783003 287823157 294843234 343983773 365044004 547566006 575646314 589686468 638827007 687967546 863469471 1031951319 1095132012 1151292628 1277654014 1375935092 1726938942 1916481021 2014762099 2063902638 2555308028 3453877884 3741701041 3832962042 4029524198 4127805276 4471789049 6044286297 7483402082 7665924084 8059048396 8943578098 11225103123 12088572594 13415367147 14103334693 14966804164 17887156196 22450206246 24177145188 26191907287 26830734294 28206669386 42310004079 44900412492 52383814574 53661468588 56413338772 78575721861 84620008158 104767629148 157151443722 169240016316 183343351009 314302887444 366686702018 550030053027 733373404036 1100060106054 2200120212108