Search a number
-
+
106263863321 = 7112950993493
BaseRepresentation
bin110001011110111010…
…0011110000000011001
3101011021201012120100112
41202331310132000121
53220112022111241
6120452243214105
710451213635460
oct1427564360031
9334251176315
10106263863321
11410801a9350
1218717677335
13a036463045
145200d179d7
152b6e0e41eb
hex18bdd1e019

106263863321 has 32 divisors (see below), whose sum is σ = 137323987200. Its totient is φ = 79789812480.

The previous prime is 106263863317. The next prime is 106263863327. The reversal of 106263863321 is 123368362601.

It is not a de Polignac number, because 106263863321 - 22 = 106263863317 is a prime.

It is a super-2 number, since 2×1062638633212 (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 (106263863327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089851 + ... + 1183343.

It is an arithmetic number, because the mean of its divisors is an integer number (4291374600).

Almost surely, 2106263863321 is an apocalyptic number.

106263863321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106263863321 is a deficient number, since it is larger than the sum of its proper divisors (31060123879).

106263863321 is a wasteful number, since it uses less digits than its factorization.

106263863321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94049.

The product of its (nonzero) digits is 186624, while the sum is 41.

The spelling of 106263863321 in words is "one hundred six billion, two hundred sixty-three million, eight hundred sixty-three thousand, three hundred twenty-one".

Divisors: 1 7 11 29 77 203 319 509 2233 3563 5599 14761 39193 93493 103327 162371 654451 1028423 1136597 2711297 7198961 18979079 29824267 47587937 208769869 333115559 523467307 1380050173 3664271149 9660351211 15180551903 106263863321