Search a number
-
+
10233111031 = 1113101708517
BaseRepresentation
bin10011000011111000…
…01110000111110111
3222102011101220100021
421201330032013313
5131424134023111
64411231030011
7511405002643
oct114174160767
928364356307
1010233111031
114381362860
121b9706b307
13c710987b0
146d10c3c23
153ed5a7d71
hex261f0e1f7

10233111031 has 16 divisors (see below), whose sum is σ = 12141164448. Its totient is φ = 8502192000.

The previous prime is 10233111001. The next prime is 10233111073. The reversal of 10233111031 is 13011133201.

10233111031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10233111031 - 215 = 10233078263 is a prime.

It is a super-2 number, since 2×102331110312 (a number of 21 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 = 10233110996 and 10233111014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339816 + ... + 368701.

It is an arithmetic number, because the mean of its divisors is an integer number (758822778).

Almost surely, 210233111031 is an apocalyptic number.

10233111031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10233111031 is a deficient number, since it is larger than the sum of its proper divisors (1908053417).

10233111031 is a wasteful number, since it uses less digits than its factorization.

10233111031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708642.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10233111031 its reverse (13011133201), we get a palindrome (23244244232).

It can be divided in two parts, 102 and 33111031, that added together give a palindrome (33111133).

The spelling of 10233111031 in words is "ten billion, two hundred thirty-three million, one hundred eleven thousand, thirty-one".

Divisors: 1 11 13 101 143 1111 1313 14443 708517 7793687 9210721 71560217 101317931 787162387 930282821 10233111031