Search a number
-
+
23113113100440 = 233511267163145757
BaseRepresentation
bin1010100000101011100001…
…11001010110000010011000
310000211120222120222122110020
411100111300321112002120
511012141123423203230
6121054003443550440
74603603326536016
oct520256071260230
9100746876878406
1023113113100440
117401241873300
12271358698b420
13cb87322746ac
1459c9759818b6
152a1359b57810
hex150570e56098

23113113100440 has 384 divisors, whose sum is σ = 77828615182080. Its totient is φ = 5485649495040.

The previous prime is 23113113100381. The next prime is 23113113100459. The reversal of 23113113100440 is 4400131131132.

It is a happy number.

It is a super-2 number, since 2×231131131004402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23113113100440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158500042 + ... + 158645798.

It is an arithmetic number, because the mean of its divisors is an integer number (202678685370).

Almost surely, 223113113100440 is an apocalyptic number.

23113113100440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23113113100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38914307591040).

23113113100440 is an abundant number, since it is smaller than the sum of its proper divisors (54715502081640).

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

23113113100440 is a wasteful number, since it uses less digits than its factorization.

23113113100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146023 (or 146008 counting only the distinct ones).

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

Adding to 23113113100440 its reverse (4400131131132), we get a palindrome (27513244231572).

The spelling of 23113113100440 in words is "twenty-three trillion, one hundred thirteen billion, one hundred thirteen million, one hundred thousand, four hundred forty".