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20212022100213 = 332516014962469
BaseRepresentation
bin1001001100001111110100…
…11001011100000011110101
32122120020202120110011022000
410212013322121130003311
510122123210124201323
6110553135203325513
74154161515106506
oct446077231340365
978506676404260
1020212022100213
116492963605049
122325285380899
13b37ca7204a78
144dc3a4c70bad
15250b63993e43
hex1261fa65c0f5

20212022100213 has 32 divisors (see below), whose sum is σ = 30113061955200. Its totient is φ = 13398663600000.

The previous prime is 20212022100209. The next prime is 20212022100217. The reversal of 20212022100213 is 31200122021202.

20212022100213 is a `hidden beast` number, since 20 + 21 + 202 + 210 + 0 + 213 = 666.

It is an interprime number because it is at equal distance from previous prime (20212022100209) and next prime (20212022100217).

It is not a de Polignac number, because 20212022100213 - 22 = 20212022100209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212022100217) 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 31 ways as a sum of consecutive naturals, for example, 1591743 + ... + 6554211.

It is an arithmetic number, because the mean of its divisors is an integer number (941033186100).

Almost surely, 220212022100213 is an apocalyptic number.

It is an amenable number.

20212022100213 is a deficient number, since it is larger than the sum of its proper divisors (9901039854987).

20212022100213 is a wasteful number, since it uses less digits than its factorization.

20212022100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963330 (or 4963324 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20212022100213 its reverse (31200122021202), we get a palindrome (51412144121415).

The spelling of 20212022100213 in words is "twenty trillion, two hundred twelve billion, twenty-two million, one hundred thousand, two hundred thirteen".

Divisors: 1 3 9 27 251 601 753 1803 2259 5409 6777 16227 150851 452553 1357659 4072977 4962469 14887407 44662221 133986663 1245579719 2982443869 3736739157 8947331607 11210217471 26841994821 33630652413 80525984463 748593411119 2245780233357 6737340700071 20212022100213