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22022122002102 = 2331015209775157
BaseRepresentation
bin1010000000111011011001…
…10000100101011010110110
32212222021221112202111112000
411000131230300211122312
510341302301213031402
6114500453450240130
74432021466315625
oct500355460453266
985867845674460
1022022122002102
117020590833492
122578050126046
13c398a5a45381
14561c3ab696bc
15282ca5040c1c
hex14076cc256b6

22022122002102 has 64 divisors (see below), whose sum is σ = 49432135723200. Its totient is φ = 7266622406400.

The previous prime is 22022122001993. The next prime is 22022122002217. The reversal of 22022122002102 is 20120022122022.

22022122002102 is a `hidden beast` number, since 220 + 2 + 212 + 20 + 0 + 210 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 28022308 + ... + 28797464.

It is an arithmetic number, because the mean of its divisors is an integer number (772377120675).

Almost surely, 222022122002102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022122002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24716067861600).

22022122002102 is an abundant number, since it is smaller than the sum of its proper divisors (27410013721098).

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

22022122002102 is a wasteful number, since it uses less digits than its factorization.

22022122002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780478 (or 780472 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22022122002102 its reverse (20120022122022), we get a palindrome (42142144124124).

The spelling of 22022122002102 in words is "twenty-two trillion, twenty-two billion, one hundred twenty-two million, two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2727 5209 5454 10418 15627 31254 46881 93762 140643 281286 526109 775157 1052218 1550314 1578327 2325471 3156654 4650942 4734981 6976413 9469962 13952826 14204943 20929239 28409886 41858478 78290857 156581714 234872571 469745142 704617713 1409235426 2113853139 4037792813 4227706278 8075585626 12113378439 24226756878 36340135317 72680270634 109020405951 218040811902 407817074113 815634148226 1223451222339 2446902444678 3670353667017 7340707334034 11011061001051 22022122002102