Search a number
-
+
106116645143335 = 523291312111115061
BaseRepresentation
bin11000001000001100110100…
…111100000100001100100111
3111220201122121110021022111211
4120020030310330010030213
5102402103342124041320
61013405151440012251
731231450251050551
oct3010146474041447
9456648543238454
10106116645143335
11308a28a8801232
12ba9a149901087
1347299ab611bc8
141c2c10456c4d1
15c4050de2155a
hex608334f04327

106116645143335 has 64 divisors (see below), whose sum is σ = 138574560706560. Its totient is φ = 77766200512000.

The previous prime is 106116645143293. The next prime is 106116645143347. The reversal of 106116645143335 is 533341546611601.

It is a de Polignac number, because none of the positive numbers 2k-106116645143335 is a prime.

It is a super-2 number, since 2×1061166451433352 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 922206705 + ... + 922321765.

It is an arithmetic number, because the mean of its divisors is an integer number (2165227511040).

Almost surely, 2106116645143335 is an apocalyptic number.

106116645143335 is a deficient number, since it is larger than the sum of its proper divisors (32457915563225).

106116645143335 is a wasteful number, since it uses less digits than its factorization.

106116645143335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117360.

The product of its (nonzero) digits is 2332800, while the sum is 49.

The spelling of 106116645143335 in words is "one hundred six trillion, one hundred sixteen billion, six hundred forty-five million, one hundred forty-three thousand, three hundred thirty-five".

Divisors: 1 5 23 29 115 131 145 655 667 2111 3013 3335 3799 10555 15065 18995 48553 61219 87377 115061 242765 276541 306095 436885 575305 1382705 1408037 2646403 3336769 6360443 7040185 8019689 13232015 15072991 16683845 31802215 40098445 75364955 76745687 184452847 242893771 346678793 383728435 437116739 922264235 1214468855 1733393965 2185583695 5586556733 7043919359 10053684997 27932783665 31819084001 35219596795 50268424985 159095420005 162010145257 731838932023 810050726285 922753436029 3659194660115 4613767180145 21223329028667 106116645143335