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23000131105350 = 235271729101439919
BaseRepresentation
bin1010011101011001000101…
…01001001111001001000110
310000102210100200102121211120
411032230202221033021012
511003313232030332400
6120530040411414410
74562463455452230
oct516544251171106
9100383320377746
1023000131105350
117368334440143
1226b56b5454406
13caab98028569
145972d8721250
1529d445d75ca0
hex14eb22a4f246

23000131105350 has 384 divisors, whose sum is σ = 72110841753600. Its totient is φ = 4729998336000.

The previous prime is 23000131105339. The next prime is 23000131105351. The reversal of 23000131105350 is 5350113100032.

It is a super-2 number, since 2×230001311053502 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23000131105350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000131105351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52062691 + ... + 52502609.

It is an arithmetic number, because the mean of its divisors is an integer number (187788650400).

Almost surely, 223000131105350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23000131105350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36055420876800).

23000131105350 is an abundant number, since it is smaller than the sum of its proper divisors (49110710648250).

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

23000131105350 is a wasteful number, since it uses less digits than its factorization.

23000131105350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440088 (or 440083 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 23000131105350 its reverse (5350113100032), we get a palindrome (28350244205382).

The spelling of 23000131105350 in words is "twenty-three trillion, one hundred thirty-one million, one hundred five thousand, three hundred fifty".