Search a number
-
+
106935539601 = 31123140890039
BaseRepresentation
bin110001110010111011…
…0101101011110010001
3101020000112002020222210
41203211312231132101
53223000444231401
6121043035422333
710503651042402
oct1434566553621
9336015066883
10106935539601
1141395362710
12188845b49a9
13a112666427
1452661db9a9
152bad06e4d6
hex18e5dad791

106935539601 has 16 divisors (see below), whose sum is σ = 162305326080. Its totient is φ = 61991616720.

The previous prime is 106935539573. The next prime is 106935539611.

106935539601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106935539601 - 26 = 106935539537 is a prime.

It is a super-2 number, since 2×1069355396012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106935539611) 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, 70444261 + ... + 70445778.

It is an arithmetic number, because the mean of its divisors is an integer number (10144082880).

Almost surely, 2106935539601 is an apocalyptic number.

106935539601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106935539601 is a deficient number, since it is larger than the sum of its proper divisors (55369786479).

106935539601 is a wasteful number, since it uses less digits than its factorization.

106935539601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140890076.

The product of its (nonzero) digits is 656100, while the sum is 48.

The spelling of 106935539601 in words is "one hundred six billion, nine hundred thirty-five million, five hundred thirty-nine thousand, six hundred one".

Divisors: 1 3 11 23 33 69 253 759 140890039 422670117 1549790429 3240470897 4649371287 9721412691 35645179867 106935539601