Search a number
-
+
106135333633 = 722166027217
BaseRepresentation
bin110001011011000101…
…0001010101100000001
3101010221202100120202201
41202312022022230001
53214331121134013
6120431412313201
710445063310400
oct1426612125401
9333852316681
10106135333633
11410146a106a
12186a0612801
13a015940884
1451cbc1b637
152b62ba63dd
hex18b628ab01

106135333633 has 6 divisors (see below), whose sum is σ = 123463551426. Its totient is φ = 90973143072.

The previous prime is 106135333627. The next prime is 106135333643. The reversal of 106135333633 is 336333531601.

It can be written as a sum of positive squares in only one way, i.e., 87691792384 + 18443541249 = 296128^2 + 135807^2 .

It is not a de Polignac number, because 106135333633 - 221 = 106133236481 is a prime.

It is a super-2 number, since 2×1061353336332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106135333592 and 106135333601.

It is not an unprimeable number, because it can be changed into a prime (106135333643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1083013560 + ... + 1083013657.

It is an arithmetic number, because the mean of its divisors is an integer number (20577258571).

Almost surely, 2106135333633 is an apocalyptic number.

It is an amenable number.

106135333633 is a deficient number, since it is larger than the sum of its proper divisors (17328217793).

106135333633 is an equidigital number, since it uses as much as digits as its factorization.

106135333633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166027231 (or 2166027224 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 37.

The spelling of 106135333633 in words is "one hundred six billion, one hundred thirty-five million, three hundred thirty-three thousand, six hundred thirty-three".

Divisors: 1 7 49 2166027217 15162190519 106135333633