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105028234017 = 3741945726119
BaseRepresentation
bin110000111010000101…
…0111010101100100001
3101001002121011002121020
41201310022322230201
53210044211442032
6120125503320053
710405461154620
oct1416412725441
9331077132536
10105028234017
11405a6777803
12184318b0029
139b9a475545
145124b916b7
152aea8bbb2c
hex18742bab21

105028234017 has 32 divisors (see below), whose sum is σ = 160782182400. Its totient is φ = 59739596928.

The previous prime is 105028234009. The next prime is 105028234037. The reversal of 105028234017 is 710432820501.

It is not a de Polignac number, because 105028234017 - 23 = 105028234009 is a prime.

It is a super-2 number, since 2×1050282340172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105028234007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4008084 + ... + 4034202.

It is an arithmetic number, because the mean of its divisors is an integer number (5024443200).

Almost surely, 2105028234017 is an apocalyptic number.

It is an amenable number.

105028234017 is a deficient number, since it is larger than the sum of its proper divisors (55753948383).

105028234017 is a wasteful number, since it uses less digits than its factorization.

105028234017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27005.

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 105028234017 in words is "one hundred five billion, twenty-eight million, two hundred thirty-four thousand, seventeen".

Divisors: 1 3 7 21 419 457 1257 1371 2933 3199 8799 9597 26119 78357 182833 191483 548499 574449 1340381 4021143 10943861 11936383 32831583 35809149 76607027 83554681 229821081 250664043 5001344477 15004033431 35009411339 105028234017