Search a number
-
+
106222461023 = 726029359563
BaseRepresentation
bin110001011101101011…
…0100010000001011111
3101011011211022010002002
41202323112202001133
53220020422223043
6120444203552515
710450202010200
oct1427326420137
9334154263062
10106222461023
11410598a0178
121870582b73b
13a02a9c8143
1451d961b5a7
152b6a666bb8
hex18bb5a205f

106222461023 has 12 divisors (see below), whose sum is σ = 123585742440. Its totient is φ = 91032468912.

The previous prime is 106222461001. The next prime is 106222461097. The reversal of 106222461023 is 320164222601.

It is not a de Polignac number, because 106222461023 - 28 = 106222460767 is a prime.

It is a super-2 number, since 2×1062224610232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106222460023) 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 11 ways as a sum of consecutive naturals, for example, 115640 + ... + 475202.

It is an arithmetic number, because the mean of its divisors is an integer number (10298811870).

Almost surely, 2106222461023 is an apocalyptic number.

106222461023 is a deficient number, since it is larger than the sum of its proper divisors (17363281417).

106222461023 is an equidigital number, since it uses as much as digits as its factorization.

106222461023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365606 (or 365599 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 106222461023 its reverse (320164222601), we get a palindrome (426386683624).

The spelling of 106222461023 in words is "one hundred six billion, two hundred twenty-two million, four hundred sixty-one thousand, twenty-three".

Divisors: 1 7 49 6029 42203 295421 359563 2516941 17618587 2167805327 15174637289 106222461023