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220122031321122 = 237109331145264579
BaseRepresentation
bin110010000011001100100111…
…011110111111000000100010
31001212101110102211112222110020
4302003030213132333000202
5212322434410004233442
62100054355402214310
764236202065424020
oct6203144736770042
91055343384488406
10220122031321122
1164157258125097
122083115aab4396
1395a955954c728
143c4dd6acb7710
151a6ad2c3c89ec
hexc833277bf022

220122031321122 has 64 divisors (see below), whose sum is σ = 509285996313600. Its totient is φ = 62126754719040.

The previous prime is 220122031321121. The next prime is 220122031321123. The reversal of 220122031321122 is 221123130221022.

It is an interprime number because it is at equal distance from previous prime (220122031321121) and next prime (220122031321123).

It is a junction number, because it is equal to n+sod(n) for n = 220122031321092 and 220122031321101.

It is not an unprimeable number, because it can be changed into a prime (220122031321121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 71116972 + ... + 74147607.

It is an arithmetic number, because the mean of its divisors is an integer number (7957593692400).

Almost surely, 2220122031321122 is an apocalyptic number.

220122031321122 is an abundant number, since it is smaller than the sum of its proper divisors (289163964992478).

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

220122031321122 is a wasteful number, since it uses less digits than its factorization.

220122031321122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145265031.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 220122031321122 its reverse (221123130221022), we get a palindrome (441245161542144).

The spelling of 220122031321122 in words is "two hundred twenty trillion, one hundred twenty-two billion, thirty-one million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 109 218 327 331 654 662 763 993 1526 1986 2289 2317 4578 4634 6951 13902 36079 72158 108237 216474 252553 505106 757659 1515318 145264579 290529158 435793737 871587474 1016852053 2033704106 3050556159 6101112318 15833839111 31667678222 47501517333 48082575649 95003034666 96165151298 110836873777 144247726947 221673747554 288495453894 332510621331 336578029543 665021242662 673156059086 1009734088629 2019468177258 5241000745741 10482001491482 15723002237223 31446004474446 36687005220187 73374010440374 110061015660561 220122031321122