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212211102211220 = 225729147135532797
BaseRepresentation
bin110000010000000100111111…
…010111010101110010010100
31000211101011221120202121112102
4300100010333113111302110
5210303331314131224340
62031200233504341232
762461513640452010
oct6020047727256224
91024334846677472
10212211102211220
116168724a958a22
121b973b24914818
139154562131388
143a59101d9d540
15198016ee63215
hexc1013f5d5c94

212211102211220 has 96 divisors (see below), whose sum is σ = 527227128852480. Its totient is φ = 70201434401280.

The previous prime is 212211102211187. The next prime is 212211102211271. The reversal of 212211102211220 is 22112201112212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212211102211192 and 212211102211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11794139 + ... + 23738658.

It is an arithmetic number, because the mean of its divisors is an integer number (5491949258880).

Almost surely, 2212211102211220 is an apocalyptic number.

212211102211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211102211220 is an abundant number, since it is smaller than the sum of its proper divisors (315016026641260).

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

212211102211220 is a wasteful number, since it uses less digits than its factorization.

212211102211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35534313 (or 35534311 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212211102211220 its reverse (22112201112212), we get a palindrome (234323303323432).

The spelling of 212211102211220 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 1471 2030 2942 4060 5884 7355 10297 14710 20594 29420 41188 42659 51485 85318 102970 170636 205940 213295 298613 426590 597226 853180 1194452 1493065 2986130 5972260 35532797 71065594 142131188 177663985 248729579 355327970 497459158 710655940 994918316 1030451113 1243647895 2060902226 2487295790 4121804452 4974591580 5152255565 7213157791 10304511130 14426315582 20609022260 28852631164 36065788955 52268744387 72131577910 104537488774 144263155820 209074977548 261343721935 365881210709 522687443870 731762421418 1045374887740 1463524842836 1515793587223 1829406053545 3031587174446 3658812107090 6063174348892 7317624214180 7578967936115 10610555110561 15157935872230 21221110221122 30315871744460 42442220442244 53052775552805 106105551105610 212211102211220