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220122121100001 = 33122966115636653
BaseRepresentation
bin110010000011001100101100…
…110101011101101011100001
31001212101110200002111012220220
4302003030230311131223201
5212322440101000200001
62100054412330353253
764236204235506021
oct6203145465355341
91055343602435826
10220122121100001
11641572a387530a
1220831184b8b829
1395a9572024b23
143c4dd78ba7a81
151a6ad3520ec36
hexc8332cd5dae1

220122121100001 has 32 divisors (see below), whose sum is σ = 304747128069120. Its totient is φ = 141180203577600.

The previous prime is 220122121099961. The next prime is 220122121100033. The reversal of 220122121100001 is 100001121221022.

220122121100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220122121100001 - 214 = 220122121083617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220122121100501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6258991 + ... + 21895643.

It is an arithmetic number, because the mean of its divisors is an integer number (9523347752160).

Almost surely, 2220122121100001 is an apocalyptic number.

It is an amenable number.

220122121100001 is a deficient number, since it is larger than the sum of its proper divisors (84625006969119).

220122121100001 is a wasteful number, since it uses less digits than its factorization.

220122121100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15637577.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220122121100001 its reverse (100001121221022), we get a palindrome (320123242321023).

The spelling of 220122121100001 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, one".

Divisors: 1 3 31 93 229 661 687 1983 7099 20491 21297 61473 151369 454107 4692439 14077317 15636653 46909959 484736243 1454208729 3580793537 10335827633 10742380611 31007482899 111004599647 320410656623 333013798941 961231969869 2366904527957 7100713583871 73374040366667 220122121100001