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23135040104 = 23111722967531
BaseRepresentation
bin10101100010111101…
…001011001001101000
32012201022122210210012
4111202331023021220
5334340032240404
614343400111052
71446210411341
oct254275131150
965638583705
1023135040104
1198a2144060
124597a65488
132249050a57
1411968010c8
159060d6a6e
hex562f4b268

23135040104 has 64 divisors (see below), whose sum is σ = 50324846400. Its totient is φ = 9853977600.

The previous prime is 23135040079. The next prime is 23135040113. The reversal of 23135040104 is 40104053132.

It is a super-2 number, since 2×231350401042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23135040104.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 308819 + ... + 376349.

It is an arithmetic number, because the mean of its divisors is an integer number (786325725).

Almost surely, 223135040104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23135040104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162423200).

23135040104 is an abundant number, since it is smaller than the sum of its proper divisors (27189806296).

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

23135040104 is a wasteful number, since it uses less digits than its factorization.

23135040104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67794 (or 67790 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 23135040104 its reverse (40104053132), we get a palindrome (63239093236).

The spelling of 23135040104 in words is "twenty-three billion, one hundred thirty-five million, forty thousand, one hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 229 374 458 748 916 1496 1832 2519 3893 5038 7786 10076 15572 20152 31144 42823 67531 85646 135062 171292 270124 342584 540248 742841 1148027 1485682 2296054 2971364 4592108 5942728 9184216 12628297 15464599 25256594 30929198 50513188 61858396 101026376 123716792 170110589 262898183 340221178 525796366 680442356 1051592732 1360884712 2103185464 2891880013 5783760026 11567520052 23135040104