Search a number
-
+
106106500611 = 3373241722273
BaseRepresentation
bin110001011010001110…
…0001011011000000011
3101010212202002201022000
41202310130023120003
53214301231004421
6120424502315043
710444263242166
oct1426434133003
9333782081260
10106106500611
1140aaa398421
1218692a28a83
13a00c986b07
1451c8073add
152b603ad226
hex18b470b603

106106500611 has 32 divisors (see below), whose sum is σ = 159421254720. Its totient is φ = 69736660992.

The previous prime is 106106500609. The next prime is 106106500651. The reversal of 106106500611 is 116005601601.

106106500611 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 650 + 0 + 6 + 1 + 1 = 666.

It is not a de Polignac number, because 106106500611 - 21 = 106106500609 is a prime.

It is a super-2 number, since 2×1061065006112 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106106500651) 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, 4752771 + ... + 4775043.

It is an arithmetic number, because the mean of its divisors is an integer number (4981914210).

Almost surely, 2106106500611 is an apocalyptic number.

106106500611 is a deficient number, since it is larger than the sum of its proper divisors (53314754109).

106106500611 is a wasteful number, since it uses less digits than its factorization.

106106500611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24772 (or 24766 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 106106500611 in words is "one hundred six billion, one hundred six million, five hundred thousand, six hundred eleven".

Divisors: 1 3 9 27 73 219 657 1971 2417 7251 21753 22273 65259 66819 176441 200457 529323 601371 1587969 1625929 4763907 4877787 14633361 43900083 53833841 161501523 484504569 1453513707 3929870393 11789611179 35368833537 106106500611