Search a number
-
+
11231001023 = 111719712112
BaseRepresentation
bin10100111010110101…
…10111100110111111
31001222201002222001212
422131122313212333
5141000114013043
65054235155035
7545212635134
oct123532674677
931881088055
1011231001023
114843675330
1222152a5a7b
13109ca47448
1478784258b
1545aebe018
hex29d6b79bf

11231001023 has 48 divisors (see below), whose sum is σ = 13913752320. Its totient is φ = 8932896000.

The previous prime is 11231001007. The next prime is 11231001029. The reversal of 11231001023 is 32010013211.

It is not a de Polignac number, because 11231001023 - 24 = 11231001007 is a prime.

It is a super-2 number, since 2×112310010232 (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 = 11231000989 and 11231001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231001029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53227388 + ... + 53227598.

It is an arithmetic number, because the mean of its divisors is an integer number (289869840).

Almost surely, 211231001023 is an apocalyptic number.

11231001023 is a deficient number, since it is larger than the sum of its proper divisors (2682751297).

11231001023 is a wasteful number, since it uses less digits than its factorization.

11231001023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11231001023 its reverse (32010013211), we get a palindrome (43241014234).

The spelling of 11231001023 in words is "eleven billion, two hundred thirty-one million, one thousand, twenty-three".

Divisors: 1 11 17 19 71 187 209 211 323 781 1207 1349 2321 3553 3587 4009 13277 14839 14981 22933 39457 44099 44521 68153 164791 252263 254677 284639 489731 749683 756857 845899 2801447 3131029 3160991 4838863 8325427 9304889 14380283 34770901 53227493 53736847 60058829 158183113 591105317 660647119 1021000093 11231001023