Search a number
-
+
102105722708 = 221122232513769
BaseRepresentation
bin101111100010111111…
…0011010111101010100
3100202112220221010202122
41133011332122331110
53133103031111313
6114523503555112
710243163215523
oct1370576327524
9322486833678
10102105722708
113a337022800
1217956bbba98
139822b52302
144d2899a4ba
1529c9032708
hex17c5f9af54

102105722708 has 72 divisors (see below), whose sum is σ = 198125141760. Its totient is φ = 46007280000.

The previous prime is 102105722707. The next prime is 102105722729. The reversal of 102105722708 is 807227501201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102105722707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27089048 + ... + 27092816.

It is an arithmetic number, because the mean of its divisors is an integer number (2751738080).

Almost surely, 2102105722708 is an apocalyptic number.

It is an amenable number.

102105722708 is a deficient number, since it is larger than the sum of its proper divisors (96019419052).

102105722708 is a wasteful number, since it uses less digits than its factorization.

102105722708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The spelling of 102105722708 in words is "one hundred two billion, one hundred five million, seven hundred twenty-two thousand, seven hundred eight".

Divisors: 1 2 4 11 22 44 121 223 242 251 446 484 502 892 1004 2453 2761 3769 4906 5522 7538 9812 11044 15076 26983 30371 41459 53966 55973 60742 82918 107932 111946 121484 165836 223892 456049 615703 840487 912098 946019 1231406 1680974 1824196 1892038 2462812 3361948 3784076 6772733 9245357 10406209 13545466 18490714 20812418 27090932 36981428 41624836 101698927 114468299 203397854 210962237 228936598 406795708 421924474 457873196 843848948 2320584607 4641169214 9282338428 25526430677 51052861354 102105722708