Search a number
-
+
22112002121202 = 2337232671650463
BaseRepresentation
bin1010000011100010110100…
…00010000001110111110010
32220021212221110001121222000
411001301122002001313302
510344240340020334302
6115010040305154430
74441353011605320
oct501613202016762
986255843047860
1022112002121202
117055713814254
12259155492ba16
13c451caa829b6
14566325b7cd10
152852b5adc31c
hex141c5a081df2

22112002121202 has 192 divisors, whose sum is σ = 59581486325760. Its totient is φ = 5952833526816.

The previous prime is 22112002121197. The next prime is 22112002121257. The reversal of 22112002121202 is 20212120021122.

It is a happy number.

22112002121202 is a `hidden beast` number, since 221 + 1 + 200 + 21 + 21 + 202 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 12572223 + ... + 14222685.

It is an arithmetic number, because the mean of its divisors is an integer number (310320241280).

Almost surely, 222112002121202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22112002121202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29790743162880).

22112002121202 is an abundant number, since it is smaller than the sum of its proper divisors (37469484204558).

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

22112002121202 is a wasteful number, since it uses less digits than its factorization.

22112002121202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650594 (or 1650565 counting only the distinct ones).

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

Adding to 22112002121202 its reverse (20212120021122), we get a palindrome (42324122142324).

The spelling of 22112002121202 in words is "twenty-two trillion, one hundred twelve billion, two million, one hundred twenty-one thousand, two hundred two".