Search a number
-
+
10106220705 = 357671436563
BaseRepresentation
bin10010110100110000…
…01011000010100001
3222002022122012112120
421122120023002201
5131144143030310
64350455214453
7505304313210
oct113230130241
928068565476
1010106220705
114316775219
121b60677429
13c509cb569
146bc2d3077
153e2390b70
hex25a60b0a1

10106220705 has 32 divisors (see below), whose sum is σ = 18755779584. Its totient is φ = 4551028416.

The previous prime is 10106220703. The next prime is 10106220721. The reversal of 10106220705 is 50702260101.

It is not a de Polignac number, because 10106220705 - 21 = 10106220703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10106220703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711247 + ... + 725316.

It is an arithmetic number, because the mean of its divisors is an integer number (586118112).

Almost surely, 210106220705 is an apocalyptic number.

10106220705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10106220705 is a deficient number, since it is larger than the sum of its proper divisors (8649558879).

10106220705 is a wasteful number, since it uses less digits than its factorization.

10106220705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436645.

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 10106220705 its reverse (50702260101), we get a palindrome (60808480806).

The spelling of 10106220705 in words is "ten billion, one hundred six million, two hundred twenty thousand, seven hundred five".

Divisors: 1 3 5 7 15 21 35 67 105 201 335 469 1005 1407 2345 7035 1436563 4309689 7182815 10055941 21548445 30167823 50279705 96249721 150839115 288749163 481248605 673748047 1443745815 2021244141 3368740235 10106220705