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220113303311022 = 23112909133350167
BaseRepresentation
bin110010000011000100011111…
…010000010001001010101110
31001212100121220120021010102220
4302003010133100101022232
5212322314021121423042
62100050353334500210
764235442564522312
oct6203043720211256
91055317816233386
10220113303311022
1164153589416a00
122082b523b04666
1395a8798240c04
143c4d77da63b42
151a6a9bb0268ec
hexc8311f4112ae

220113303311022 has 48 divisors (see below), whose sum is σ = 483938685019776. Its totient is φ = 66693661966800.

The previous prime is 220113303311017. The next prime is 220113303311047.

220113303311022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220113303310983 and 220113303311001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10075018 + ... + 23275149.

It is an arithmetic number, because the mean of its divisors is an integer number (10082055937912).

Almost surely, 2220113303311022 is an apocalyptic number.

220113303311022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220113303311022 is an abundant number, since it is smaller than the sum of its proper divisors (263825381708754).

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

220113303311022 is a wasteful number, since it uses less digits than its factorization.

220113303311022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33359285 (or 33359274 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 22011330 and 3311022, that added together give a palindrome (25322352).

The spelling of 220113303311022 in words is "two hundred twenty trillion, one hundred thirteen billion, three hundred three million, three hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 9091 18182 27273 54546 100001 200002 300003 600006 1100011 2200022 3300033 6600066 33350167 66700334 100050501 200101002 366851837 733703674 1100555511 2201111022 4035370207 8070740414 12106110621 24212221242 303186368197 606372736394 909559104591 1819118209182 3335050050167 6670100100334 10005150150501 20010300301002 36685550551837 73371101103674 110056651655511 220113303311022