Search a number
-
+
106616710021 = 739337156421
BaseRepresentation
bin110001101001011011…
…0011110001110000101
3101012012022011001000211
41203102312132032011
53221322334210041
6120551250035421
710463030040163
oct1432266361605
9335168131024
10106616710021
1141241398298
12187b5878b71
13a0915a4b83
145235b26233
152b90091481
hex18d2d9e385

106616710021 has 8 divisors (see below), whose sum is σ = 108089479064. Its totient is φ = 105144272640.

The previous prime is 106616709989. The next prime is 106616710027. The reversal of 106616710021 is 120017616601.

It can be written as a sum of positive squares in 4 ways, for example, as 12297701025 + 94319008996 = 110895^2 + 307114^2 .

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 106616710021 - 25 = 106616709989 is a prime.

It is a super-2 number, since 2×1066167100212 (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 (106616710027) 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, 603391 + ... + 759811.

It is an arithmetic number, because the mean of its divisors is an integer number (13511184883).

Almost surely, 2106616710021 is an apocalyptic number.

It is an amenable number.

106616710021 is a deficient number, since it is larger than the sum of its proper divisors (1472769043).

106616710021 is an equidigital number, since it uses as much as digits as its factorization.

106616710021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165831.

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 106616710021 in words is "one hundred six billion, six hundred sixteen million, seven hundred ten thousand, twenty-one".

Divisors: 1 73 9337 156421 681601 11418733 1460502877 106616710021