Search a number
-
+
23111310222000 = 243253711133734667
BaseRepresentation
bin1010100000101000001010…
…11011111010001010110000
310000211102022221112221011200
411100110011123322022300
511012123430404101000
6121053104522011200
74603510545402450
oct520240533721260
9100742287487150
1023111310222000
1174004a7123020
122713163046b00
13cb85058b7410
1459c844359d60
152a12a1731500
hex1505056fa2b0

23111310222000 has 1920 divisors, whose sum is σ = 111311823587328. Its totient is φ = 4313005056000.

The previous prime is 23111310221977. The next prime is 23111310222053. The reversal of 23111310222000 is 22201311132.

23111310222000 is a `hidden beast` number, since 2 + 311 + 1 + 310 + 22 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 666648667 + ... + 666683333.

Almost surely, 223111310222000 is an apocalyptic number.

23111310222000 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 23111310222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55655911793664).

23111310222000 is an abundant number, since it is smaller than the sum of its proper divisors (88200513365328).

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

23111310222000 is a wasteful number, since it uses less digits than its factorization.

23111310222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34764 (or 34745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23111310222000 its reverse (22201311132), we get a palindrome (23133511533132).

The spelling of 23111310222000 in words is "twenty-three trillion, one hundred eleven billion, three hundred ten million, two hundred twenty-two thousand".