Search a number
-
+
106413046331 = 1953149709217
BaseRepresentation
bin110001100011010110…
…1100011101000111011
3101011200002220211222012
41203012231203220323
53220413214440311
6120515132520135
710455004653404
oct1430655435073
9334602824865
10106413046331
1141147432799
121875962004b
13a05b337107
145216a6c9ab
152b7c26178b
hex18c6b63a3b

106413046331 has 16 divisors (see below), whose sum is σ = 114893316000. Its totient is φ = 98246274048.

The previous prime is 106413046307. The next prime is 106413046357. The reversal of 106413046331 is 133640314601.

It is a cyclic number.

It is not a de Polignac number, because 106413046331 - 234 = 89233177147 is a prime.

It is a super-2 number, since 2×1064130463312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106413046631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204566 + ... + 504651.

It is an arithmetic number, because the mean of its divisors is an integer number (7180832250).

Almost surely, 2106413046331 is an apocalyptic number.

106413046331 is a deficient number, since it is larger than the sum of its proper divisors (8480269669).

106413046331 is a wasteful number, since it uses less digits than its factorization.

106413046331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709438.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 106413046331 in words is "one hundred six billion, four hundred thirteen million, forty-six thousand, three hundred thirty-one".

Divisors: 1 19 53 149 1007 2831 7897 150043 709217 13475123 37588501 105673333 714181519 2007793327 5600686649 106413046331