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220120122222222 = 2310715712971683779
BaseRepresentation
bin110010000011001010110101…
…101100010110011010001110
31001212101021111210020201002120
4302003022311230112122032
5212322422002242102342
62100053442123433410
764236103554360015
oct6203126554263216
91055337453221076
10220120122222222
1164156468524902
1220830907685866
1395a9313b81501
143c4dc29521a7c
151a6ac699beaec
hexc832b5b1668e

220120122222222 has 64 divisors (see below), whose sum is σ = 447529973425920. Its totient is φ = 72168934196736.

The previous prime is 220120122222211. The next prime is 220120122222257. The reversal of 220120122222222 is 222222221021022.

It is a junction number, because it is equal to n+sod(n) for n = 220120122222192 and 220120122222201.

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 31 ways as a sum of consecutive naturals, for example, 129887929 + ... + 131571707.

It is an arithmetic number, because the mean of its divisors is an integer number (6992655834780).

Almost surely, 2220120122222222 is an apocalyptic number.

220120122222222 is an abundant number, since it is smaller than the sum of its proper divisors (227409851203698).

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

220120122222222 is a wasteful number, since it uses less digits than its factorization.

220120122222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685345.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 220120122222222 its reverse (222222221021022), we get a palindrome (442342343243244).

The spelling of 220120122222222 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 107 157 214 314 321 471 642 942 1297 2594 3891 7782 16799 33598 50397 100794 138779 203629 277558 407258 416337 610887 832674 1221774 1683779 3367558 5051337 10102674 21788303 43576606 65364909 130729818 180164353 264353303 360328706 528706606 540493059 793059909 1080986118 1586119818 2183861363 4367722726 6551584089 13103168178 28285803421 56571606842 84857410263 169714820526 233673165841 342866233991 467346331682 685732467982 701019497523 1028598701973 1402038995046 2057197403946 36686687037037 73373374074074 110060061111111 220120122222222