Search a number
-
+
23312310010000 = 245411733289127
BaseRepresentation
bin1010100110011110100011…
…11101010000000010010000
310001112122010222010002222021
411103033101331100002100
511023422102330310000
6121325305525021224
74624154526405334
oct523172175200220
9101478128102867
1023312310010000
1174787712827a0
1227460b9554814
13100145909b10b
145a84711317c4
152a661784411a
hex1533d1f50090

23312310010000 has 200 divisors, whose sum is σ = 61656687094464. Its totient is φ = 8465609280000.

The previous prime is 23312310009953. The next prime is 23312310010109. The reversal of 23312310010000 is 1001321332.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 39 ways as a sum of consecutive naturals, for example, 80485437 + ... + 80774563.

Almost surely, 223312310010000 is an apocalyptic number.

23312310010000 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 23312310010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30828343547232).

23312310010000 is an abundant number, since it is smaller than the sum of its proper divisors (38344377084464).

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

23312310010000 is a wasteful number, since it uses less digits than its factorization.

23312310010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289899 (or 289878 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23312310010000 its reverse (1001321332), we get a palindrome (23313311331332).

The spelling of 23312310010000 in words is "twenty-three trillion, three hundred twelve billion, three hundred ten million, ten thousand".