Search a number
-
+
102221002112022 = 233191013163311869
BaseRepresentation
bin10111001111100000101110…
…100001001111110000010110
3111101221020021101121220021000
4113033200232201033300112
5101344242103020041042
61001223402522004130
730350136503456523
oct2717405641176026
9441836241556230
10102221002112022
112a630757883832
12b56b146946646
134506525ba06b1
141b35746ba614a
15bc400993974c
hex5cf82e84fc16

102221002112022 has 128 divisors (see below), whose sum is σ = 241558035264000. Its totient is φ = 31950502358400.

The previous prime is 102221002111981. The next prime is 102221002112057. The reversal of 102221002112022 is 220211200122201.

It is a happy number.

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 = 102221002111986 and 102221002112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327613104 + ... + 327924972.

It is an arithmetic number, because the mean of its divisors is an integer number (1887172150500).

Almost surely, 2102221002112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102221002112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120779017632000).

102221002112022 is an abundant number, since it is smaller than the sum of its proper divisors (139337033151978).

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

102221002112022 is a wasteful number, since it uses less digits than its factorization.

102221002112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315163 (or 315157 counting only the distinct ones).

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

Adding to 102221002112022 its reverse (220211200122201), we get a palindrome (322432202234223).

The spelling of 102221002112022 in words is "one hundred two trillion, two hundred twenty-one billion, two million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 101 114 171 202 303 342 513 606 909 1026 1818 1919 2727 3163 3838 5454 5757 6326 9489 11514 17271 18978 28467 34542 51813 56934 60097 85401 103626 120194 170802 180291 311869 319463 360582 540873 623738 638926 935607 958389 1081746 1622619 1871214 1916778 2806821 2875167 3245238 5613642 5750334 5925511 6069797 8420463 8625501 11851022 12139594 16840926 17251002 17776533 18209391 31498769 35553066 36418782 53329599 54628173 62997538 94496307 106659198 109256346 159988797 163884519 188992614 283488921 319977594 327769038 566977842 598476611 850466763 986441647 1196953222 1700933526 1795429833 1972883294 2959324941 3590859666 5386289499 5918649882 8877974823 10772578998 16158868497 17755949646 18742391293 26633924469 32317736994 37484782586 53267848938 56227173879 99630606347 112454347758 168681521637 199261212694 298891819041 337363043274 506044564911 597783638082 896675457123 1012089129822 1793350914246 1892981520593 2690026371369 3785963041186 5380052742738 5678944561779 11357889123558 17036833685337 34073667370674 51110501056011 102221002112022