Search a number
-
+
106344544631 = 1359138649993
BaseRepresentation
bin110001100001010100…
…0001111100101110111
3101011111100000121022012
41203002220033211313
53220243200412011
6120504244354435
710453213500113
oct1430250174567
9334440017265
10106344544631
11411117a5416
121873a6a5a1b
13a04a0a1570
14520b91a743
152b7622ea8b
hex18c2a0f977

106344544631 has 8 divisors (see below), whose sum is σ = 116465994960. Its totient is φ = 96500394432.

The previous prime is 106344544601. The next prime is 106344544687. The reversal of 106344544631 is 136445443601.

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

It is a de Polignac number, because none of the positive numbers 2k-106344544631 is a prime.

It is a super-2 number, since 2×1063445446312 (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 (106344544601) 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, 69324230 + ... + 69325763.

It is an arithmetic number, because the mean of its divisors is an integer number (14558249370).

Almost surely, 2106344544631 is an apocalyptic number.

106344544631 is a deficient number, since it is larger than the sum of its proper divisors (10121450329).

106344544631 is a wasteful number, since it uses less digits than its factorization.

106344544631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138650065.

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 106344544631 in words is "one hundred six billion, three hundred forty-four million, five hundred forty-four thousand, six hundred thirty-one".

Divisors: 1 13 59 767 138649993 1802449909 8180349587 106344544631