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110102022112212 = 2232133125339299501
BaseRepresentation
bin11001000010001100011111…
…111010101100001111010100
3112102211122120020011001211200
4121002030133322230033110
5103412402420130042322
61030100100511432500
732122415514254124
oct3102143772541724
9472748506131750
10110102022112212
113209a007146109
1210422614525730
1349587649cabb0
141d28d75774c84
15cae01622b8ac
hex64231feac3d4

110102022112212 has 144 divisors (see below), whose sum is σ = 309403871562240. Its totient is φ = 32783317920000.

The previous prime is 110102022112189. The next prime is 110102022112217. The reversal of 110102022112212 is 212211220201011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110102022112217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367468462 + ... + 367767962.

It is an arithmetic number, because the mean of its divisors is an integer number (2148637996960).

Almost surely, 2110102022112212 is an apocalyptic number.

110102022112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110102022112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154701935781120).

110102022112212 is an abundant number, since it is smaller than the sum of its proper divisors (199301849450028).

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

110102022112212 is a wasteful number, since it uses less digits than its factorization.

110102022112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324894 (or 324889 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110102022112212 its reverse (212211220201011), we get a palindrome (322313242313223).

The spelling of 110102022112212 in words is "one hundred ten trillion, one hundred two billion, twenty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 14508 25339 50678 76017 101356 152034 228051 299501 304068 329407 456102 599002 658814 785509 898503 912204 988221 1198004 1317628 1571018 1797006 1976442 2356527 2695509 2964663 3142036 3594012 3893513 3952884 4713054 5391018 5929326 7069581 7787026 9284531 9426108 10211617 10782036 11680539 11858652 14139162 15574052 18569062 20423234 23361078 27853593 28278324 30634851 35041617 37138124 40846468 46722156 55707186 61269702 70083234 83560779 91904553 111414372 120698903 122539404 140166468 167121558 183809106 241397806 334243116 362096709 367618212 482795612 724193418 1086290127 1448386836 2172580254 4345160508 7589055839 15178111678 22767167517 30356223356 45534335034 68301502551 91068670068 98657725907 136603005102 197315451814 235260731009 273206010204 295973177721 394630903628 470521462018 591946355442 705782193027 887919533163 941042924036 1183892710884 1411564386054 1775839066326 2117346579081 2823128772108 3058389503117 3551678132652 4234693158162 6116779006234 8469386316324 9175168509351 12233558012468 18350337018702 27525505528053 36700674037404 55051011056106 110102022112212