Search a number
-
+
22144020101 = 712731778577
BaseRepresentation
bin10100100111111000…
…101110111010000101
32010011020212202220122
4110213320232322011
5330322332120401
614101155111325
71412515031240
oct244770567205
963136782818
1022144020101
1194337a4065
12435bba2545
13211b939098
141100d50257
158990cb21b
hex527e2ee85

22144020101 has 16 divisors (see below), whose sum is σ = 25587511296. Its totient is φ = 18771492096.

The previous prime is 22144020077. The next prime is 22144020127. The reversal of 22144020101 is 10102044122.

It is not a de Polignac number, because 22144020101 - 210 = 22144019077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22144020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22144220101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 242525 + ... + 321101.

It is an arithmetic number, because the mean of its divisors is an integer number (1599219456).

Almost surely, 222144020101 is an apocalyptic number.

It is an amenable number.

22144020101 is a deficient number, since it is larger than the sum of its proper divisors (3443491195).

22144020101 is a wasteful number, since it uses less digits than its factorization.

22144020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79028.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22144020101 its reverse (10102044122), we get a palindrome (32246064223).

The spelling of 22144020101 in words is "twenty-two billion, one hundred forty-four million, twenty thousand, one hundred one".

Divisors: 1 7 127 317 889 2219 40259 78577 281813 550039 9979279 24908909 69854953 174362363 3163431443 22144020101