Search a number
-
+
106071613335 = 3255371837547
BaseRepresentation
bin110001011001001011…
…1000101111110010111
3101010210022110020221200
41202302113011332113
53214213313111320
6120421214443543
710443360560052
oct1426227057627
9333708406850
10106071613335
1140a9172a066
12186832035b3
13a00569045c
1451c3591a99
152b5c2bb290
hex18b25c5f97

106071613335 has 96 divisors (see below), whose sum is σ = 192279080448. Its totient is φ = 54055921920.

The previous prime is 106071613289. The next prime is 106071613379. The reversal of 106071613335 is 533316170601.

It is a happy number.

106071613335 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 7 + 1 + 613 + 3 + 35 = 666.

It is not a de Polignac number, because 106071613335 - 211 = 106071611287 is a prime.

It is a super-2 number, since 2×1060716133352 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106071613335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14051032 + ... + 14058578.

It is an arithmetic number, because the mean of its divisors is an integer number (2002907088).

Almost surely, 2106071613335 is an apocalyptic number.

106071613335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106071613335 is a deficient number, since it is larger than the sum of its proper divisors (86207467113).

106071613335 is a wasteful number, since it uses less digits than its factorization.

106071613335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

Adding to 106071613335 its reverse (533316170601), we get a palindrome (639387783936).

The spelling of 106071613335 in words is "one hundred six billion, seventy-one million, six hundred thirteen thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 45 53 71 83 159 213 249 265 355 415 477 639 747 795 1065 1245 2385 3195 3735 3763 4399 5893 7547 11289 13197 17679 18815 21995 22641 29465 33867 37735 39591 53037 56445 65985 67923 88395 113205 169335 197955 265185 312329 339615 399991 535837 626401 936987 1199973 1561645 1607511 1879203 1999955 2679185 2810961 3132005 3599919 4684935 4822533 5637609 5999865 8037555 9396015 14054805 17999595 24112665 28188045 28399361 33199253 44474471 85198083 99597759 133423413 141996805 165996265 222372355 255594249 298793277 400270239 425990415 497988795 667117065 1277971245 1493966385 2001351195 2357146963 7071440889 11785734815 21214322667 35357204445 106071613335