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22122110120202 = 232174315711070189
BaseRepresentation
bin1010000011110101101001…
…00000111111000100001010
32220022212000220001011212100
411001322310200333010022
510344422040142321302
6115014431310454230
74442161340306211
oct501726440770412
986285026034770
1022122110120202
117059a30493534
1225934b5b04376
13c4614bc547b1
14566a043b6078
152856a81ced1c
hex141eb483f10a

22122110120202 has 96 divisors (see below), whose sum is σ = 51964077147840. Its totient is φ = 6774546885120.

The previous prime is 22122110120183. The next prime is 22122110120203. The reversal of 22122110120202 is 20202101122122.

It is a happy number.

22122110120202 is a `hidden beast` number, since 221 + 221 + 1 + 0 + 1 + 20 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22122110120203) 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, 20136124 + ... + 21206312.

It is an arithmetic number, because the mean of its divisors is an integer number (541292470290).

Almost surely, 222122110120202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122110120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25982038573920).

22122110120202 is an abundant number, since it is smaller than the sum of its proper divisors (29841967027638).

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

22122110120202 is a wasteful number, since it uses less digits than its factorization.

22122110120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071828 (or 1071825 counting only the distinct ones).

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

Adding to 22122110120202 its reverse (20202101122122), we get a palindrome (42324211242324).

The spelling of 22122110120202 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 1571 2193 3142 4386 4713 6579 9426 13158 14139 26707 28278 53414 67553 80121 135106 160242 202659 240363 405318 480726 607977 1070189 1148401 1215954 2140378 2296802 3210567 3445203 6421134 6890406 9631701 10335609 18193213 19263402 20671218 36386426 46018127 54579639 92036254 109159278 138054381 163738917 276108762 327477834 414163143 782308159 828326286 1564616318 1681266919 2346924477 3362533838 4693848954 5043800757 7040773431 10087601514 14081546862 15131402271 28581537623 30262804542 57163075246 72294477517 85744612869 144588955034 171489225738 216883432551 257233838607 433766865102 514467677214 650650297653 1229006117789 1301300595306 2458012235578 3687018353367 7374036706734 11061055060101 22122110120202