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2210000202201 = 311233142414337
BaseRepresentation
bin100000001010001110010…
…001101110100111011001
321211021101201021102221210
4200022032101232213121
5242202040022432301
64411132102053333
7315444602525361
oct40121621564731
97737351242853
102210000202201
1178228a554a00
122b839071a249
1313052c611a4c
1478d70b479a1
153c74934ead6
hex2028e46e9d9

2210000202201 has 48 divisors (see below), whose sum is σ = 3250198816704. Its totient is φ = 1334724864000.

The previous prime is 2210000202191. The next prime is 2210000202211. The reversal of 2210000202201 is 1022020000122.

It is an interprime number because it is at equal distance from previous prime (2210000202191) and next prime (2210000202211).

It is not a de Polignac number, because 2210000202201 - 219 = 2209999677913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2210000202211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509566705 + ... + 509571041.

It is an arithmetic number, because the mean of its divisors is an integer number (67712475348).

Almost surely, 22210000202201 is an apocalyptic number.

It is an amenable number.

2210000202201 is a deficient number, since it is larger than the sum of its proper divisors (1040198614503).

2210000202201 is a wasteful number, since it uses less digits than its factorization.

2210000202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2210000202201 its reverse (1022020000122), we get a palindrome (3232020202323).

The spelling of 2210000202201 in words is "two trillion, two hundred ten billion, two hundred two thousand, two hundred one".

Divisors: 1 3 11 33 121 331 363 993 3641 4241 4337 10923 12723 13011 40051 46651 47707 120153 139953 143121 513161 524777 1403771 1435547 1539483 1574331 4211313 4306641 15441481 15791017 18393217 46324443 47373051 55179651 169856291 173701187 202325387 509568873 521103561 606976161 2225579257 6088154827 6676737771 18264464481 66969703097 200909109291 736666734067 2210000202201