Search a number
-
+
10211120103 = 3377110712109
BaseRepresentation
bin10011000001010000…
…10101001111100111
3222100122000122110110
421200220111033213
5131403021320403
64405123424103
7511020042312
oct114050251747
928318018413
1010211120103
11436aa02738
121b8b825033
13c69669102
146cc1db979
153eb6b2103
hex260a153e7

10211120103 has 32 divisors (see below), whose sum is σ = 14313438720. Its totient is φ = 6468577920.

The previous prime is 10211120077. The next prime is 10211120137. The reversal of 10211120103 is 30102111201.

10211120103 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211120103 - 230 = 9137378279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211120903) 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, 837213 + ... + 849321.

It is an arithmetic number, because the mean of its divisors is an integer number (447294960).

Almost surely, 210211120103 is an apocalyptic number.

10211120103 is a deficient number, since it is larger than the sum of its proper divisors (4102318617).

10211120103 is a wasteful number, since it uses less digits than its factorization.

10211120103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12327.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10211120103 its reverse (30102111201), we get a palindrome (40313231304).

The spelling of 10211120103 in words is "ten billion, two hundred eleven million, one hundred twenty thousand, one hundred three".

Divisors: 1 3 37 71 107 111 213 321 2627 3959 7597 7881 11877 12109 22791 36327 281089 448033 843267 859739 1295663 1344099 2579217 3886989 31810343 47939531 91992073 95431029 143818593 275976219 3403706701 10211120103