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22141221102 = 233711131572609
BaseRepresentation
bin10100100111101110…
…000011100011101110
32010011001121120102000
4110213232003203232
5330321123033402
614101015113130
71412452163010
oct244756034356
963131546360
1022141221102
119432162140
12435b0727a6
13211b199080
1411008221b0
15898c26c1c
hex527b838ee

22141221102 has 256 divisors, whose sum is σ = 66508646400. Its totient is φ = 5272750080.

The previous prime is 22141221077. The next prime is 22141221119. The reversal of 22141221102 is 20112214122.

22141221102 is a `hidden beast` number, since 221 + 412 + 21 + 10 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8485174 + ... + 8487782.

It is an arithmetic number, because the mean of its divisors is an integer number (259799400).

Almost surely, 222141221102 is an apocalyptic number.

22141221102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22141221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33254323200).

22141221102 is an abundant number, since it is smaller than the sum of its proper divisors (44367425298).

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

22141221102 is a wasteful number, since it uses less digits than its factorization.

22141221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2802 counting only the distinct ones).

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

Adding to 22141221102 its reverse (20112214122), we get a palindrome (42253435224).

The spelling of 22141221102 in words is "twenty-two billion, one hundred forty-one million, two hundred twenty-one thousand, one hundred two".