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210022210022112 = 25322389356250017
BaseRepresentation
bin101111110000001110011011…
…001110010010101011100000
31000112121221000220221100001100
4233300032123032102223200
5210012000441231201422
62022402512112234400
762144414103026145
oct5760163316225340
91015557026840040
10210022210022112
1160a12a12320744
121b67b86523ba00
139026017922307
1439c11b47643cc
15194325dc997ac
hexbf039b392ae0

210022210022112 has 144 divisors (see below), whose sum is σ = 630220531842720. Its totient is φ = 66211202973696.

The previous prime is 210022210022099. The next prime is 210022210022167. The reversal of 210022210022112 is 211220012220012.

It is a happy number.

210022210022112 is a `hidden beast` number, since 210 + 0 + 2 + 221 + 0 + 0 + 221 + 12 = 666.

210022210022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177535473 + ... + 178714544.

It is an arithmetic number, because the mean of its divisors is an integer number (4376531471130).

Almost surely, 2210022210022112 is an apocalyptic number.

It is an amenable number.

210022210022112 is an abundant number, since it is smaller than the sum of its proper divisors (420198321820608).

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

210022210022112 is a wasteful number, since it uses less digits than its factorization.

210022210022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356250145 (or 356250134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210022210022112 its reverse (211220012220012), we get a palindrome (421242222242124).

The spelling of 210022210022112 in words is "two hundred ten trillion, twenty-two billion, two hundred ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 89 92 96 138 144 178 184 207 267 276 288 356 368 414 534 552 712 736 801 828 1068 1104 1424 1602 1656 2047 2136 2208 2848 3204 3312 4094 4272 6141 6408 6624 8188 8544 12282 12816 16376 18423 24564 25632 32752 36846 49128 65504 73692 98256 147384 196512 294768 589536 356250017 712500034 1068750051 1425000068 2137500102 2850000136 3206250153 4275000204 5700000272 6412500306 8193750391 8550000408 11400000544 12825000612 16387500782 17100000816 24581251173 25650001224 31706251513 32775001564 34200001632 49162502346 51300002448 63412503026 65550003128 73743753519 95118754539 98325004692 102600004896 126825006052 131100006256 147487507038 190237509078 196650009384 253650012104 262200012512 285356263617 294975014076 380475018156 393300018768 507300024208 570712527234 589950028152 729243784799 760950036312 786600037536 1014600048416 1141425054468 1179900056304 1458487569598 1521900072624 2187731354397 2282850108936 2359800112608 2916975139196 3043800145248 4375462708794 4565700217872 5833950278392 6563194063191 8750925417588 9131400435744 11667900556784 13126388126382 17501850835176 23335801113568 26252776252764 35003701670352 52505552505528 70007403340704 105011105011056 210022210022112