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222210122102122 = 2711172313128170533
BaseRepresentation
bin110010100001100101010011…
…011001001011010101101010
31002010210002011110202011102211
4302201211103121023111222
5213111142312224231442
62104333530522315334
764543102655261350
oct6241452331132552
91063702143664384
10222210122102122
1164891868a14520
1220b09988358b4a
1396cb42b1c528b
143cc3054c7b7d0
151aa52ddd03617
hexca195364b56a

222210122102122 has 128 divisors (see below), whose sum is σ = 462642200875008. Its totient is φ = 77345012659200.

The previous prime is 222210122102039. The next prime is 222210122102131. The reversal of 222210122102122 is 221201221012222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 222210122102093 and 222210122102102.

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, 6197233 + ... + 21973300.

It is an arithmetic number, because the mean of its divisors is an integer number (3614392194336).

Almost surely, 2222210122102122 is an apocalyptic number.

222210122102122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222210122102122 is an abundant number, since it is smaller than the sum of its proper divisors (240432078772886).

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

222210122102122 is a wasteful number, since it uses less digits than its factorization.

222210122102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28170724.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 222210122102122 its reverse (221201221012222), we get a palindrome (443411343114344).

The spelling of 222210122102122 in words is "two hundred twenty-two trillion, two hundred ten billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 17 22 23 34 46 77 119 131 154 161 187 238 253 262 322 374 391 506 782 917 1309 1441 1771 1834 2227 2618 2737 2882 3013 3542 4301 4454 5474 6026 8602 10087 15589 20174 21091 24497 30107 31178 33143 42182 48994 51221 60214 66286 102442 171479 232001 342958 358547 464002 563431 717094 1126862 3944017 7888034 28170533 56341066 197193731 309875863 394387462 478899061 619751726 647922259 957798122 1295844518 2169131041 3352293427 3690339823 4338262082 4535455813 5267889671 6704586854 7127144849 7380679646 9070911626 10535779342 11014678403 14254289698 22029356806 25832378761 36875227697 40593738053 49890013943 51664757522 62735776991 73750455394 77102748821 81187476106 84877815929 99780027886 121161462433 125471553982 154205497642 169755631858 242322924866 284156166371 439150438937 568312332742 594144711503 690093546901 848130237031 878300877874 933655975219 1188289423006 1380187093802 1442922870793 1696260474062 1867311950438 2885845741586 4830654828307 6535591826533 9661309656614 10100460095551 13071183653066 15872151578723 20200920191102 31744303157446 111105061051061 222210122102122