Search a number
-
+
101200011255 = 345735696653
BaseRepresentation
bin101111000111111111…
…1011001111111110111
3100200012210200020020000
41132033333121333313
53124224200330010
6114253551242343
710211554621410
oct1361777317767
9320183606200
10101200011255
1139a1184a342
12177438193b3
13970a309085
144c80594807
1529747787c0
hex178ffd9ff7

101200011255 has 40 divisors (see below), whose sum is σ = 207326166432. Its totient is φ = 46262860992.

The previous prime is 101200011251. The next prime is 101200011287. The reversal of 101200011255 is 552110002101.

It is not a de Polignac number, because 101200011255 - 22 = 101200011251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200011251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17845492 + ... + 17851161.

Almost surely, 2101200011255 is an apocalyptic number.

101200011255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101200011255 is an abundant number, since it is smaller than the sum of its proper divisors (106126155177).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101200011255 is an equidigital number, since it uses as much as digits as its factorization.

101200011255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35696677 (or 35696668 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 101200011255 its reverse (552110002101), we get a palindrome (653310013356).

The spelling of 101200011255 in words is "one hundred one billion, two hundred million, eleven thousand, two hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 35696653 107089959 178483265 249876571 321269877 535449795 749629713 963809631 1249382855 1606349385 2248889139 2891428893 3748148565 4819048155 6746667417 11244445695 14457144465 20240002251 33733337085 101200011255