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22100210110212 = 223132312295011781
BaseRepresentation
bin1010000011001100110110…
…01011000100111100000100
32220020202111122022101220020
411001212123023010330010
510344042212242011322
6115000410225335140
74440454544301453
oct501463313047404
986222448271806
1022100210110212
117050712501923
12258b2037974b0
13c4406ba418c0
14565927a22b9a
15284d2575305c
hex14199b2c4f04

22100210110212 has 96 divisors (see below), whose sum is σ = 57995539418880. Its totient is φ = 6499115927040.

The previous prime is 22100210110183. The next prime is 22100210110219. The reversal of 22100210110212 is 21201101200122.

It is a junction number, because it is equal to n+sod(n) for n = 22100210110191 and 22100210110200.

It is not an unprimeable number, because it can be changed into a prime (22100210110219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1903762 + ... + 6915542.

It is an arithmetic number, because the mean of its divisors is an integer number (604120202280).

Almost surely, 222100210110212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100210110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28997769709440).

22100210110212 is an abundant number, since it is smaller than the sum of its proper divisors (35895329308668).

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

22100210110212 is a wasteful number, since it uses less digits than its factorization.

22100210110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013053 (or 5013051 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22100210110212 its reverse (21201101200122), we get a palindrome (43301311310334).

The spelling of 22100210110212 in words is "twenty-two trillion, one hundred billion, two hundred ten million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1229 1794 2458 3588 3687 4916 7374 14748 15977 28267 31954 47931 56534 63908 84801 95862 113068 169602 191724 339204 367471 734942 1102413 1469884 2204826 4409652 5011781 10023562 15035343 20047124 30070686 60141372 65153153 115270963 130306306 195459459 230541926 260612612 345812889 390918918 461083852 691625778 781837836 1383251556 1498522519 2997045038 4495567557 5994090076 6159478849 8991135114 12318957698 17982270228 18478436547 24637915396 36956873094 73913746188 80073225037 141668013527 160146450074 240219675111 283336027054 320292900148 425004040581 480439350222 566672054108 850008081162 960878700444 1700016162324 1841684175851 3683368351702 5525052527553 7366736703404 11050105055106 22100210110212