Search a number
-
+
23113001323300 = 2252710310912292393
BaseRepresentation
bin1010100000101011010100…
…01110111100101100100100
310000211120200210122210001011
411100111222032330230210
511012140411314321200
6121053544412112004
74603600501463110
oct520255216745444
9100746623583034
1023113001323300
1174011947684a9
122713555465604
13cb8715069485
1459c964ba6740
152a134ee285ba
hex15056a3bcb24

23113001323300 has 288 divisors, whose sum is σ = 58479682060800. Its totient is φ = 7765952163840.

The previous prime is 23113001323297. The next prime is 23113001323301. The reversal of 23113001323300 is 332310031132.

It is a super-2 number, since 2×231130013233002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23113001323301) 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, 9658586904 + ... + 9658589296.

It is an arithmetic number, because the mean of its divisors is an integer number (203054451600).

Almost surely, 223113001323300 is an apocalyptic number.

23113001323300 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 23113001323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29239841030400).

23113001323300 is an abundant number, since it is smaller than the sum of its proper divisors (35366680737500).

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

23113001323300 is a wasteful number, since it uses less digits than its factorization.

23113001323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 23113001323300 its reverse (332310031132), we get a palindrome (23445311354432).

The spelling of 23113001323300 in words is "twenty-three trillion, one hundred thirteen billion, one million, three hundred twenty-three thousand, three hundred".