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202122110022012 = 223223244108828529
BaseRepresentation
bin101101111101010000111000…
…100100011011000101111100
3222111122200111101000202002100
4231331100320210123011330
5202443032040131201022
61553513340540025100
760400561211012625
oct5575207044330574
9874580441022070
10202122110022012
1159447561881aa4
121a804751832190
1388a2057bc703b
1437caa95b54a4c
1518579d73b91ac
hexb7d43891b17c

202122110022012 has 36 divisors (see below), whose sum is σ = 533133681509520. Its totient is φ = 64444730731392.

The previous prime is 202122110022011. The next prime is 202122110022017. The reversal of 202122110022012 is 210220011221202.

It is a happy number.

202122110022012 is a `hidden beast` number, since 20 + 212 + 211 + 0 + 0 + 220 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2021221100220122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122110022011) 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, 122054413437 + ... + 122054415092.

It is an arithmetic number, because the mean of its divisors is an integer number (14809268930820).

Almost surely, 2202122110022012 is an apocalyptic number.

It is an amenable number.

202122110022012 is an abundant number, since it is smaller than the sum of its proper divisors (331011571487508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202122110022012 is a wasteful number, since it uses less digits than its factorization.

202122110022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244108828562 (or 244108828557 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202122110022012 its reverse (210220011221202), we get a palindrome (412342121243214).

The spelling of 202122110022012 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred ten million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 244108828529 488217657058 732326485587 976435314116 1464652971174 2196979456761 2929305942348 4393958913522 5614503056167 8787917827044 11229006112334 16843509168501 22458012224668 33687018337002 50530527505503 67374036674004 101061055011006 202122110022012