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221002012210110 = 235233713196562973
BaseRepresentation
bin110010010000000000001010…
…011011101011001110111110
31001222111120211012211212001120
4302100000022123223032332
5212431344110111210420
62102010531154451410
764356603612523305
oct6220001233531676
91058446735755046
10221002012210110
116446647742253a
1220953806893b66
13964152869c301
143c807a964143c
151a83b82161d40
hexc9000a6eb3be

221002012210110 has 128 divisors (see below), whose sum is σ = 568855484651520. Its totient is φ = 54806381600256.

The previous prime is 221002012210093. The next prime is 221002012210123. The reversal of 221002012210110 is 11012210200122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221002012210110.

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, 30392584 + ... + 36955556.

It is an arithmetic number, because the mean of its divisors is an integer number (4444183473840).

Almost surely, 2221002012210110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221002012210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284427742325760).

221002012210110 is an abundant number, since it is smaller than the sum of its proper divisors (347853472441410).

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

221002012210110 is a wasteful number, since it uses less digits than its factorization.

221002012210110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564362.

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

Adding to 221002012210110 its reverse (11012210200122), we get a palindrome (232014222410232).

It can be divided in two parts, 221002012 and 210110, that added together give a palindrome (221212122).

The spelling of 221002012210110 in words is "two hundred twenty-one trillion, two billion, twelve million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 111 115 138 185 222 230 345 370 555 690 851 1110 1319 1702 2553 2638 3957 4255 5106 6595 7914 8510 12765 13190 19785 25530 30337 39570 48803 60674 91011 97606 146409 151685 182022 244015 292818 303370 455055 488030 732045 910110 1122469 1464090 2244938 3367407 5612345 6562973 6734814 11224690 13125946 16837035 19688919 32814865 33674070 39377838 65629730 98444595 150948379 196889190 242830001 301896758 452845137 485660002 728490003 754741895 905690274 1214150005 1456980006 1509483790 2264225685 2428300010 3642450015 4528451370 5585090023 7284900030 8656561387 11170180046 16755270069 17313122774 25969684161 27925450115 33510540138 43282806935 51939368322 55850900230 83776350345 86565613870 129848420805 167552700690 199100911901 259696841610 320292771319 398201823802 597302735703 640585542638 960878313957 995504559505 1194605471406 1601463856595 1921756627914 1991009119010 2986513678515 3202927713190 4804391569785 5973027357030 7366733740337 9608783139570 14733467480674 22100201221011 36833668701685 44200402442022 73667337403370 110501006105055 221002012210110