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22321202121 = 3237531936553
BaseRepresentation
bin10100110010011100…
…101000001111001001
32010121121021112221200
4110302130220033021
5331203211431441
614130524454413
71420066042011
oct246234501711
963547245850
1022321202121
119514811589
1243ab3aa409
13214956440a
14111a6b2c41
158a99297b6
hex5327283c9

22321202121 has 48 divisors (see below), whose sum is σ = 33917893776. Its totient is φ = 14129676288.

The previous prime is 22321202093. The next prime is 22321202143. The reversal of 22321202121 is 12120212322.

22321202121 is a `hidden beast` number, since 22 + 321 + 202 + 121 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 344622096 + 21976580025 = 18564^2 + 148245^2 .

It is not a de Polignac number, because 22321202121 - 213 = 22321193929 is a prime.

It is a super-3 number, since 3×223212021213 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22321202094 and 22321202103.

It is not an unprimeable number, because it can be changed into a prime (22321202021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3402981 + ... + 3409533.

It is an arithmetic number, because the mean of its divisors is an integer number (706622787).

Almost surely, 222321202121 is an apocalyptic number.

It is an amenable number.

22321202121 is a deficient number, since it is larger than the sum of its proper divisors (11596691655).

22321202121 is a wasteful number, since it uses less digits than its factorization.

22321202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842 (or 6839 counting only the distinct ones).

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

Adding to 22321202121 its reverse (12120212322), we get a palindrome (34441414443).

The spelling of 22321202121 in words is "twenty-two billion, three hundred twenty-one million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 37 53 111 159 193 333 477 579 1737 1961 5883 6553 7141 10229 17649 19659 21423 30687 58977 64269 92061 242461 347309 378473 727383 1041927 1135419 1264729 2182149 3125781 3406257 3794187 11382561 12850433 38551299 46794973 67030637 115653897 140384919 201091911 421154757 603275733 2480133569 7440400707 22321202121