Search a number
-
+
20310113223000 = 23325323372819437
BaseRepresentation
bin1001001111000110100010…
…00101011000000101011000
32122220121221201012111021200
410213203101011120011120
510130230102441114000
6111110200500434200
74164233352643356
oct447432105300530
978817851174250
1020310113223000
11652051a481477
12234029b9a8960
13b4430a3c3163
1450302c5967d6
152534a531a500
hex1278d1158158

20310113223000 has 768 divisors, whose sum is σ = 73838544848640. Its totient is φ = 5022065664000.

The previous prime is 20310113222981. The next prime is 20310113223017. The reversal of 20310113223000 is 32231101302.

20310113223000 is a `hidden beast` number, since 2 + 0 + 31 + 0 + 11 + 322 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2152174282 + ... + 2152183718.

It is an arithmetic number, because the mean of its divisors is an integer number (96143938605).

Almost surely, 220310113223000 is an apocalyptic number.

20310113223000 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 20310113223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36919272424320).

20310113223000 is an abundant number, since it is smaller than the sum of its proper divisors (53528431625640).

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

20310113223000 is a wasteful number, since it uses less digits than its factorization.

20310113223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9788 counting only the distinct ones).

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

Adding to 20310113223000 its reverse (32231101302), we get a palindrome (20342344324302).

The spelling of 20310113223000 in words is "twenty trillion, three hundred ten billion, one hundred thirteen million, two hundred twenty-three thousand".