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112102212011022 = 23778732565719
BaseRepresentation
bin11001011111010011010100…
…100001101000010000001110
3112200220212101220022210000000
4121133103110201220100032
5104143140312233323042
61034231013434545130
732420055214006062
oct3137232441502016
9480825356283000
10112102212011022
11327a03101aa762
12106a61abb981a6
134a722686c090c
141d97ac1537aa2
15ce6080c1a74c
hex65f4d486840e

112102212011022 has 64 divisors (see below), whose sum is σ = 252511987622400. Its totient is φ = 37319922039384.

The previous prime is 112102212010993. The next prime is 112102212011057. The reversal of 112102212011022 is 220110212201211.

112102212011022 is a `hidden beast` number, since 1 + 1 + 210 + 221 + 201 + 10 + 22 = 666.

It is a super-4 number, since 4×1121022120110224 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 112102212010986 and 112102212011004.

It is a congruent number.

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, 12840522 + ... + 19725197.

It is an arithmetic number, because the mean of its divisors is an integer number (3945499806600).

Almost surely, 2112102212011022 is an apocalyptic number.

112102212011022 is an abundant number, since it is smaller than the sum of its proper divisors (140409775611378).

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

112102212011022 is an frugal number, since it uses more digits than its factorization.

112102212011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32566529 (or 32566511 counting only the distinct ones).

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

Adding to 112102212011022 its reverse (220110212201211), we get a palindrome (332212424212233).

The spelling of 112102212011022 in words is "one hundred twelve trillion, one hundred two billion, two hundred twelve million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 787 1458 1574 2187 2361 4374 4722 7083 14166 21249 42498 63747 127494 191241 382482 573723 1147446 1721169 3442338 32565719 65131438 97697157 195394314 293091471 586182942 879274413 1758548826 2637823239 5275646478 7913469717 15826939434 23740409151 25629220853 47480818302 51258441706 71221227453 76887662559 142442454906 153775325118 230662987677 461325975354 691988963031 1383977926062 2075966889093 4151933778186 6227900667279 12455801334558 18683702001837 37367404003674 56051106005511 112102212011022