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23311031040 = 2833511173607
BaseRepresentation
bin10101101101011100…
…100001101100000000
32020011120211001222000
4111231130201230000
5340220110443130
614413044144000
71453445331423
oct255534415400
966146731860
1023311031040
119982518710
124626998000
13227664cbbb
1411b1d339ba
1591679c260
hex56d721b00

23311031040 has 576 divisors, whose sum is σ = 95576785920. Its totient is φ = 5317263360.

The previous prime is 23311031017. The next prime is 23311031059. The reversal of 23311031040 is 4013011332.

23311031040 is a `hidden beast` number, since 2 + 3 + 311 + 0 + 310 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6460917 + ... + 6464523.

It is an arithmetic number, because the mean of its divisors is an integer number (165931920).

Almost surely, 223311031040 is an apocalyptic number.

23311031040 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 23311031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47788392960).

23311031040 is an abundant number, since it is smaller than the sum of its proper divisors (72265754880).

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

23311031040 is a wasteful number, since it uses less digits than its factorization.

23311031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23311031040 its reverse (4013011332), we get a palindrome (27324042372).

The spelling of 23311031040 in words is "twenty-three billion, three hundred eleven million, thirty-one thousand, forty".