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210120220101 = 31125129386579
BaseRepresentation
bin1100001110110000100…
…1000001110111000101
3202002100122021010121010
43003230021001313011
511420311234020401
6240310005312433
721115655254611
oct3035411016705
9662318233533
10210120220101
1181125428370
1234880a05719
1316a77bac7ac
14a2541ba341
1556ebb7ced6
hex30ec241dc5

210120220101 has 32 divisors (see below), whose sum is σ = 307897873920. Its totient is φ = 126403880000.

The previous prime is 210120220091. The next prime is 210120220109. The reversal of 210120220101 is 101022021012.

It is a cyclic number.

It is not a de Polignac number, because 210120220101 - 219 = 210119695813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120220109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2383630 + ... + 2470208.

It is an arithmetic number, because the mean of its divisors is an integer number (9621808560).

Almost surely, 2210120220101 is an apocalyptic number.

It is an amenable number.

210120220101 is a deficient number, since it is larger than the sum of its proper divisors (97777653819).

210120220101 is a wasteful number, since it uses less digits than its factorization.

210120220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87137.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210120220101 its reverse (101022021012), we get a palindrome (311142241113).

It can be divided in two parts, 2101 and 20220101, that added together give a palindrome (20222202).

The spelling of 210120220101 in words is "two hundred ten billion, one hundred twenty million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 11 33 251 293 753 879 2761 3223 8283 9669 73543 86579 220629 259737 808973 952369 2426919 2857107 21731329 25367647 65193987 76102941 239044619 279044117 717133857 837132351 6367279397 19101838191 70040073367 210120220101