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23114114331 = 372111031371013
BaseRepresentation
bin10101100001101101…
…010110010100011011
32012122212021200000120
4111201231112110123
5334314203124311
614341331404323
71445534505300
oct254155262433
965585250016
1023114114331
119891351230
124590a536a3
132244905139
141193b150a7
15904351706
hex561b5651b

23114114331 has 96 divisors (see below), whose sum is σ = 39816811008. Its totient is φ = 11792309760.

The previous prime is 23114114329. The next prime is 23114114333. The reversal of 23114114331 is 13341141132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23114114329) and next prime (23114114333).

It is not a de Polignac number, because 23114114331 - 21 = 23114114329 is a prime.

It is a super-2 number, since 2×231141143312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23114114333) 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, 22816981 + ... + 22817993.

It is an arithmetic number, because the mean of its divisors is an integer number (414758448).

Almost surely, 223114114331 is an apocalyptic number.

23114114331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23114114331 is a deficient number, since it is larger than the sum of its proper divisors (16702696677).

23114114331 is a wasteful number, since it uses less digits than its factorization.

23114114331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1274 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 23114114331 its reverse (13341141132), we get a palindrome (36455255463).

The spelling of 23114114331 in words is "twenty-three billion, one hundred fourteen million, one hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 49 77 103 137 147 231 309 411 539 721 959 1013 1133 1507 1617 2163 2877 3039 3399 4521 5047 6713 7091 7931 10549 11143 14111 15141 20139 21273 23793 31647 33429 42333 49637 55517 73843 78001 98777 104339 138781 148911 155221 166551 221529 234003 296331 313017 416343 465663 546007 691439 730373 971467 1086547 1147729 1526591 1638021 2074317 2191119 2914401 3259641 3443187 4579773 5112611 6800269 7605829 8034103 10686137 14294443 15337833 20400807 22817487 24102309 32058411 42883329 56238721 74802959 100061101 157238873 168716163 224408877 300183303 471716619 700427707 1100672111 2101283121 3302016333 7704704777 23114114331