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23104133334 = 235109587743
BaseRepresentation
bin10101100001000111…
…010001100011010110
32012122011111120200000
4111201013101203112
5334304124231314
614340333432130
71445353615212
oct254107214326
965564446600
1023104133334
119886754377
12458963b646
13224281c119
141192677942
1590352e209
hex5611d18d6

23104133334 has 96 divisors (see below), whose sum is σ = 52549136640. Its totient is φ = 7607470752.

The previous prime is 23104133309. The next prime is 23104133357. The reversal of 23104133334 is 43333140132.

23104133334 is a `hidden beast` number, since 2 + 310 + 4 + 13 + 3 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23104133298 and 23104133307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31095367 + ... + 31096109.

It is an arithmetic number, because the mean of its divisors is an integer number (547386840).

Almost surely, 223104133334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23104133334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26274568320).

23104133334 is an abundant number, since it is smaller than the sum of its proper divisors (29445003306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23104133334 is a wasteful number, since it uses less digits than its factorization.

23104133334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23104133334 its reverse (43333140132), we get a palindrome (66437273466).

The spelling of 23104133334 in words is "twenty-three billion, one hundred four million, one hundred thirty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 243 327 486 587 654 743 981 1174 1486 1761 1962 2229 2943 3522 4458 5283 5886 6687 8829 10566 13374 15849 17658 20061 26487 31698 40122 47547 52974 60183 63983 80987 95094 120366 127966 142641 161974 180549 191949 242961 285282 361098 383898 436141 485922 575847 728883 872282 1151694 1308423 1457766 1727541 2186649 2616846 3455082 3925269 4373298 5182623 6559947 7850538 10365246 11775807 13119894 15547869 19679841 23551614 31095738 35327421 39359682 47539369 70654842 95078738 105982263 142618107 211964526 285236214 427854321 855708642 1283562963 2567125926 3850688889 7701377778 11552066667 23104133334