Search a number
-
+
23123100231 = 32711436731153
BaseRepresentation
bin10101100010001111…
…101000001001000111
32012200111012012100200
4111202033220021013
5334324003201411
614342252141543
71446004052250
oct254217501107
965614165320
1023123100231
1198964294a0
124593a678b3
13224673023a
141194db3b27
15905028e56
hex5623e8247

23123100231 has 96 divisors (see below), whose sum is σ = 42710333952. Its totient is φ = 11705057280.

The previous prime is 23123100223. The next prime is 23123100271. The reversal of 23123100231 is 13200132132.

It is not a de Polignac number, because 23123100231 - 23 = 23123100223 is a prime.

It is a super-2 number, since 2×231231002312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23123100271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20054151 + ... + 20055303.

It is an arithmetic number, because the mean of its divisors is an integer number (444899312).

Almost surely, 223123100231 is an apocalyptic number.

23123100231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23123100231 is a deficient number, since it is larger than the sum of its proper divisors (19587233721).

23123100231 is a wasteful number, since it uses less digits than its factorization.

23123100231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1890 counting only the distinct ones).

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

Adding to 23123100231 its reverse (13200132132), we get a palindrome (36323232363).

The spelling of 23123100231 in words is "twenty-three billion, one hundred twenty-three million, one hundred thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 43 63 77 99 129 231 301 387 473 673 693 903 1153 1419 2019 2709 3311 3459 4257 4711 6057 7403 8071 9933 10377 12683 14133 22209 24213 28939 29799 38049 42399 49579 51821 66627 72639 86817 88781 114147 148737 155463 202573 260451 266343 318329 347053 446211 466389 545369 607719 775969 799029 954987 1041159 1636107 1823157 2228303 2327907 2864961 3123477 3817583 4908321 5431783 6684909 6983721 8535659 11452749 16295349 20054727 25606977 33366667 34358247 48886047 59749613 76820931 100100001 179248839 233566669 300300003 367033337 537746517 700700007 1101100011 2102100021 2569233359 3303300033 7707700077 23123100231