Search a number
-
+
201001212122022 = 232134159355096957
BaseRepresentation
bin101101101100111100111101…
…110110010001001110100110
3222100200112021001212122212200
4231230330331312101032212
5202321200440300401042
61551254403155555330
760223600262040144
oct5554747566211646
9870615231778780
10201001212122022
1159055154174484
121a66346b2bbb46
138820443704590
14378c721034594
151838781e37c4c
hexb6cf3dd913a6

201001212122022 has 96 divisors (see below), whose sum is σ = 488585006451360. Its totient is φ = 59315395530240.

The previous prime is 201001212121999. The next prime is 201001212122047. The reversal of 201001212122022 is 220221212100102.

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 = 201001212121986 and 201001212122004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176982433 + ... + 178114524.

It is an arithmetic number, because the mean of its divisors is an integer number (5089427150535).

Almost surely, 2201001212122022 is an apocalyptic number.

201001212122022 is an abundant number, since it is smaller than the sum of its proper divisors (287583794329338).

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

201001212122022 is a wasteful number, since it uses less digits than its factorization.

201001212122022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355097078 (or 355097075 counting only the distinct ones).

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

Adding to 201001212122022 its reverse (220221212100102), we get a palindrome (421222424222124).

The spelling of 201001212122022 in words is "two hundred one trillion, one billion, two hundred twelve million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 59 78 82 117 118 123 177 234 246 354 369 531 533 738 767 1062 1066 1534 1599 2301 2419 3198 4602 4797 4838 6903 7257 9594 13806 14514 21771 31447 43542 62894 94341 188682 283023 566046 355096957 710193914 1065290871 2130581742 3195872613 4616260441 6391745226 9232520882 13848781323 14558975237 20950720463 27697562646 29117950474 41546343969 41901440926 43676925711 62852161389 83092687938 87353851422 125704322778 131030777133 188556484167 189266678081 262061554266 272359366019 377112968334 378533356162 544718732038 567800034243 817078098057 858979538983 1135600068486 1634156196114 1703400102729 1717959077966 2451234294171 2576938616949 3406800205458 4902468588342 5153877233898 7730815850847 11166734006779 15461631701694 22333468013558 33500202020337 67000404040674 100500606061011 201001212122022