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220333013121132 = 22327737917673319
BaseRepresentation
bin110010000110010001000110…
…111110101011100001101100
31001220010122000112000220111100
4302012101012332223201230
5212334414002324334012
62100335331110323100
764260351315222462
oct6206210676534154
91056118015026440
10220333013121132
116422878492316a
1220866020359490
1395c3410a93202
143c5a26368c832
151a715799e48dc
hexc86446fab86c

220333013121132 has 36 divisors (see below), whose sum is σ = 557673402620880. Its totient is φ = 73349325617952.

The previous prime is 220333013121131. The next prime is 220333013121173. The reversal of 220333013121132 is 231121310333022.

220333013121132 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 3 + 301 + 312 + 11 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2203330131211322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220333013121096 and 220333013121105.

It is not an unprimeable number, because it can be changed into a prime (220333013121131) 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 11 ways as a sum of consecutive naturals, for example, 3958808832 + ... + 3958864487.

It is an arithmetic number, because the mean of its divisors is an integer number (15490927850580).

Almost surely, 2220333013121132 is an apocalyptic number.

It is an amenable number.

220333013121132 is an abundant number, since it is smaller than the sum of its proper divisors (337340389499748).

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

220333013121132 is a wasteful number, since it uses less digits than its factorization.

220333013121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917674102 (or 7917674097 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 220333013121132 its reverse (231121310333022), we get a palindrome (451454323454154).

The spelling of 220333013121132 in words is "two hundred twenty trillion, three hundred thirty-three billion, thirteen million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 773 1546 2319 3092 4638 6957 9276 13914 27828 7917673319 15835346638 23753019957 31670693276 47506039914 71259059871 95012079828 142518119742 285036239484 6120361475587 12240722951174 18361084426761 24481445902348 36722168853522 55083253280283 73444337707044 110166506560566 220333013121132