Search a number
-
+
23123230011 = 3272918676779
BaseRepresentation
bin10101100010010000…
…000111110100111011
32012200111102210101100
4111202100013310323
5334324021330021
614342255022443
71446005132520
oct254220076473
965614383340
1023123230011
119896507a52
124593b0aa23
13224677732b
141195009147
15905052626
hex562407d3b

23123230011 has 48 divisors (see below), whose sum is σ = 39514924800. Its totient is φ = 12748929984.

The previous prime is 23123229989. The next prime is 23123230049. The reversal of 23123230011 is 11003232132.

It is not a de Polignac number, because 23123230011 - 26 = 23123229947 is a prime.

It is a super-2 number, since 2×231232300112 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23123231011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3407620 + ... + 3414398.

It is an arithmetic number, because the mean of its divisors is an integer number (823227600).

Almost surely, 223123230011 is an apocalyptic number.

23123230011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23123230011 is a deficient number, since it is larger than the sum of its proper divisors (16391694789).

23123230011 is a wasteful number, since it uses less digits than its factorization.

23123230011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8688 (or 8685 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23123230011 its reverse (11003232132), we get a palindrome (34126462143).

It can be divided in two parts, 2312 and 3230011, that added together give a palindrome (3232323).

The spelling of 23123230011 in words is "twenty-three billion, one hundred twenty-three million, two hundred thirty thousand, eleven".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 1867 5601 6779 13069 16803 20337 39207 47453 54143 61011 117621 142359 162429 196591 379001 427077 487287 589773 1137003 1376137 1769319 3411009 4128411 12385233 12656393 37969179 88594751 113907537 265784253 367035397 797352759 1101106191 2569247779 3303318573 7707743337 23123230011