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2212100220001 = 72172655582497
BaseRepresentation
bin100000001100001011011…
…100101010010001100001
321211110211001211101210211
4200030023130222101201
5242220340124020001
64412120320454121
7315550622425300
oct40141334522141
97743731741724
102212100220001
117831679a5401
122b8877a7a341
131307a5707a29
14790cd9da437
153c81d8bc351
hex2030b72a461

2212100220001 has 12 divisors (see below), whose sum is σ = 2724627642948. Its totient is φ = 1784551437312.

The previous prime is 2212100219993. The next prime is 2212100220059. The reversal of 2212100220001 is 1000220012122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 894083713600 + 1318016506401 = 945560^2 + 1148049^2 .

It is not a de Polignac number, because 2212100220001 - 23 = 2212100219993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2212100220091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327790416 + ... + 1327792081.

It is an arithmetic number, because the mean of its divisors is an integer number (227052303579).

Almost surely, 22212100220001 is an apocalyptic number.

It is an amenable number.

2212100220001 is a deficient number, since it is larger than the sum of its proper divisors (512527422947).

2212100220001 is a wasteful number, since it uses less digits than its factorization.

2212100220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655582528 (or 2655582521 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2212100220001 its reverse (1000220012122), we get a palindrome (3212320232123).

The spelling of 2212100220001 in words is "two trillion, two hundred twelve billion, one hundred million, two hundred twenty thousand, one".

Divisors: 1 7 17 49 119 833 2655582497 18589077479 45144902449 130123542353 316014317143 2212100220001