Search a number
-
+
22130322101 = 172173442633
BaseRepresentation
bin10100100111000100…
…011110101010110101
32010010022002211210022
4110213010132222311
5330310330301401
614055545334525
71412260430336
oct244704365265
963108084708
1022130322101
119426a985a8
124357497445
132118b51264
1410dd1c628d
15897cc271b
hex52711eab5

22130322101 has 12 divisors (see below), whose sum is σ = 23644623012. Its totient is φ = 20708095488.

The previous prime is 22130322077. The next prime is 22130322107. The reversal of 22130322101 is 10122303122.

It can be written as a sum of positive squares in 6 ways, for example, as 7796007025 + 14334315076 = 88295^2 + 119726^2 .

It is not a de Polignac number, because 22130322101 - 222 = 22126127797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 22130322101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130322107) 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, 171320 + ... + 271313.

It is an arithmetic number, because the mean of its divisors is an integer number (1970385251).

Almost surely, 222130322101 is an apocalyptic number.

It is an amenable number.

22130322101 is a deficient number, since it is larger than the sum of its proper divisors (1514300911).

22130322101 is a wasteful number, since it uses less digits than its factorization.

22130322101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442840 (or 442823 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22130322101 its reverse (10122303122), we get a palindrome (32252625223).

The spelling of 22130322101 in words is "twenty-two billion, one hundred thirty million, three hundred twenty-two thousand, one hundred one".

Divisors: 1 17 173 289 2941 49997 442633 7524761 76575509 127920937 1301783653 22130322101