Search a number
-
+
10120311101 = 181247722573
BaseRepresentation
bin10010110110011011…
…11011000100111101
3222010022011001221002
421123031323010331
5131211244423401
64352121220045
7505535140115
oct113315730475
928108131832
1010120311101
11432371957a
121b65331625
13c538c2b84
146c0120045
153e3725a6b
hex25b37b13d

10120311101 has 8 divisors (see below), whose sum is σ = 10180783704. Its totient is φ = 10059888960.

The previous prime is 10120311083. The next prime is 10120311109. The reversal of 10120311101 is 10111302101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 487084900 + 9633226201 = 22070^2 + 98149^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120311101 - 222 = 10116116797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120311109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437051 + ... + 459623.

It is an arithmetic number, because the mean of its divisors is an integer number (1272597963).

Almost surely, 210120311101 is an apocalyptic number.

It is an amenable number.

10120311101 is a deficient number, since it is larger than the sum of its proper divisors (60472603).

10120311101 is a wasteful number, since it uses less digits than its factorization.

10120311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25231.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10120311101 its reverse (10111302101), we get a palindrome (20231613202).

The spelling of 10120311101 in words is "ten billion, one hundred twenty million, three hundred eleven thousand, one hundred one".

Divisors: 1 181 2477 22573 448337 4085713 55913321 10120311101