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220121022011022 = 232115092184130321
BaseRepresentation
bin110010000011001011101011…
…010100110001011010001110
31001212101100211111100201021200
4302003023223110301122032
5212322430323113323042
62100054111305210330
764236135061425666
oct6203135324613216
91055340744321250
10220121022011022
116415688a422510
1220830b18a909a6
1395a9428402a12
143c4dcb2c251a6
151a6acbd9a8c4c
hexc832eb53168e

220121022011022 has 48 divisors (see below), whose sum is σ = 521308225254960. Its totient is φ = 66572292153600.

The previous prime is 220121022010969. The next prime is 220121022011027. The reversal of 220121022011022 is 220110220121022.

It is a happy number.

220121022011022 is a `hidden beast` number, since 2 + 201 + 210 + 220 + 1 + 10 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220121022010986 and 220121022011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220121022011027) 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 23 ways as a sum of consecutive naturals, for example, 1091964379 + ... + 1092165942.

It is an arithmetic number, because the mean of its divisors is an integer number (10860588026145).

Almost surely, 2220121022011022 is an apocalyptic number.

220121022011022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220121022011022 is an abundant number, since it is smaller than the sum of its proper divisors (301187203243938).

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

220121022011022 is a wasteful number, since it uses less digits than its factorization.

220121022011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184130849 (or 2184130846 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220121022011022 its reverse (220110220121022), we get a palindrome (440231242132044).

The spelling of 220121022011022 in words is "two hundred twenty trillion, one hundred twenty-one billion, twenty-two million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 509 1018 1527 3054 4581 5599 9162 11198 16797 33594 50391 100782 2184130321 4368260642 6552390963 13104781926 19657172889 24025433531 39314345778 48050867062 72076300593 144152601186 216228901779 432457803558 1111722333389 2223444666778 3335167000167 6670334000334 10005501000501 12228945667279 20011002001002 24457891334558 36686837001837 73373674003674 110060511005511 220121022011022