Search a number
-
+
22313022101 = 53735767129
BaseRepresentation
bin10100110001111101…
…011011001010010101
32010121000212222001222
4110301331123022111
5331144113201401
614130033300125
71416636362366
oct246175331225
963530788058
1022313022101
119510134837
1243a8704645
13214795c076
141119583b6d
158a8d60c1b
hex531f5b295

22313022101 has 8 divisors (see below), whose sum is σ = 23045451480. Its totient is φ = 21592127232.

The previous prime is 22313022079. The next prime is 22313022139. The reversal of 22313022101 is 10122031322.

It can be written as a sum of positive squares in 4 ways, for example, as 9931119025 + 12381903076 = 99655^2 + 111274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22313022101 - 210 = 22313021077 is a prime.

It is a super-3 number, since 3×223130221013 (a number of 32 digits) contains 333 as substring.

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 22313022101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313022181) 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 7 ways as a sum of consecutive naturals, for example, 2879696 + ... + 2887433.

It is an arithmetic number, because the mean of its divisors is an integer number (2880681435).

Almost surely, 222313022101 is an apocalyptic number.

It is an amenable number.

22313022101 is a deficient number, since it is larger than the sum of its proper divisors (732429379).

22313022101 is an equidigital number, since it uses as much as digits as its factorization.

22313022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767255.

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

Adding to 22313022101 its reverse (10122031322), we get a palindrome (32435053423).

The spelling of 22313022101 in words is "twenty-two billion, three hundred thirteen million, twenty-two thousand, one hundred one".

Divisors: 1 53 73 3869 5767129 305657837 421000417 22313022101