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201223102112310 = 235179712133353321
BaseRepresentation
bin101101110000001011100111…
…100001011010001000110110
3222101110201222222001001220010
4231300023213201122020312
5202333314403120043220
61551544341132321050
760245614024610625
oct5560134741321066
9871421888031803
10201223102112310
11591302692a3343
121a69a475913186
138838345b38b15
14379937041b6bc
15183e41c00a1e0
hexb702e785a236

201223102112310 has 128 divisors (see below), whose sum is σ = 517041046779264. Its totient is φ = 49941182545920.

The previous prime is 201223102112303. The next prime is 201223102112369. The reversal of 201223102112310 is 13211201322102.

It is a super-2 number, since 2×2012231021123102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58330450 + ... + 61683770.

It is an arithmetic number, because the mean of its divisors is an integer number (4039383177963).

Almost surely, 2201223102112310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201223102112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258520523389632).

201223102112310 is an abundant number, since it is smaller than the sum of its proper divisors (315817944666954).

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

201223102112310 is a wasteful number, since it uses less digits than its factorization.

201223102112310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354658.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 201223102112310 its reverse (13211201322102), we get a palindrome (214434303434412).

The spelling of 201223102112310 in words is "two hundred one trillion, two hundred twenty-three billion, one hundred two million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 97 102 170 194 255 291 485 510 582 970 1213 1455 1649 2426 2910 3298 3639 4947 6065 7278 8245 9894 12130 16490 18195 20621 24735 36390 41242 49470 61863 103105 117661 123726 206210 235322 309315 352983 588305 618630 705966 1176610 1764915 2000237 3353321 3529830 4000474 6000711 6706642 10001185 10059963 12001422 16766605 20002370 20119926 30003555 33533210 50299815 57006457 60007110 100599630 114012914 171019371 285032285 325272137 342038742 570064570 650544274 855096855 975816411 1626360685 1710193710 1951632822 3252721370 4067578373 4879082055 5529626329 8135156746 9758164110 11059252658 12202735119 16588878987 20337891865 24405470238 27648131645 33177757974 40675783730 55296263290 61013675595 69148832341 82944394935 122027351190 138297664682 165888789870 207446497023 345744161705 394555102181 414892994046 691488323410 789110204362 1037232485115 1183665306543 1972775510905 2074464970230 2367330613086 3945551021810 5918326532715 6707436737077 11836653065430 13414873474154 20122310211231 33537183685385 40244620422462 67074367370770 100611551056155 201223102112310