Search a number
-
+
106211603361 = 3166921212623
BaseRepresentation
bin110001011101010110…
…1000111001110100001
3101011011001212111011110
41202322231013032201
53220010132301421
6120443135133533
710450010506203
oct1427255071641
9334131774143
10106211603361
11410537546a6
12187020742a9
13a0286960a6
1451d7dd2773
152b6971ea76
hex18bab473a1

106211603361 has 8 divisors (see below), whose sum is σ = 141700328320. Its totient is φ = 70765306992.

The previous prime is 106211603347. The next prime is 106211603371. The reversal of 106211603361 is 163306112601.

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

It is not a de Polignac number, because 106211603361 - 213 = 106211595169 is a prime.

It is a super-2 number, since 2×1062116033612 (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 (106211603321) 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, 10601305 + ... + 10611318.

It is an arithmetic number, because the mean of its divisors is an integer number (17712541040).

Almost surely, 2106211603361 is an apocalyptic number.

It is an amenable number.

106211603361 is a deficient number, since it is larger than the sum of its proper divisors (35488724959).

106211603361 is a wasteful number, since it uses less digits than its factorization.

106211603361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21214295.

The product of its (nonzero) digits is 3888, while the sum is 30.

Adding to 106211603361 its reverse (163306112601), we get a palindrome (269517715962).

The spelling of 106211603361 in words is "one hundred six billion, two hundred eleven million, six hundred three thousand, three hundred sixty-one".

Divisors: 1 3 1669 5007 21212623 63637869 35403867787 106211603361