Search a number
-
+
106500506017 = 719755727763
BaseRepresentation
bin110001100101111101…
…1001100000110100001
3101011220012111021002211
41203023323030012201
53221103112143032
6120531535242121
710460116236043
oct1431373140641
9334805437084
10106500506017
1141191839524
1218782979341
13a0734a99c9
145224517a93
152b84c8a747
hex18cbecc1a1

106500506017 has 16 divisors (see below), whose sum is σ = 109313753472. Its totient is φ = 103727715840.

The previous prime is 106500506003. The next prime is 106500506023. The reversal of 106500506017 is 710605005601.

It is a cyclic number.

It is not a de Polignac number, because 106500506017 - 219 = 106499981729 is a prime.

It is a super-2 number, since 2×1065005060172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106500506017.

It is not an unprimeable number, because it can be changed into a prime (106500506317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3822178 + ... + 3849940.

It is an arithmetic number, because the mean of its divisors is an integer number (6832109592).

Almost surely, 2106500506017 is an apocalyptic number.

It is an amenable number.

106500506017 is a deficient number, since it is larger than the sum of its proper divisors (2813247455).

106500506017 is an equidigital number, since it uses as much as digits as its factorization.

106500506017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28488.

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 106500506017 in words is "one hundred six billion, five hundred million, five hundred six thousand, seventeen".

Divisors: 1 71 97 557 6887 27763 39547 54029 1971173 2693011 3836059 15463991 191203781 1097943361 1500007127 106500506017