Search a number
-
+
1023022020000 = 2535441940693
BaseRepresentation
bin11101110001100001101…
…11010011010110100000
310121210121011102012211110
432320300313103112200
5113230122114120000
62101545252143320
7133624303456611
oct16706067232640
93553534365743
101023022020000
11364952295302
12146328007b40
1375616a97696
143772bc27c08
151b927975850
hexee30dd35a0

1023022020000 has 240 divisors, whose sum is σ = 3363808361760. Its totient is φ = 272148096000.

The previous prime is 1023022019983. The next prime is 1023022020061. The reversal of 1023022020000 is 202203201.

1023022020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25119654 + ... + 25160346.

It is an arithmetic number, because the mean of its divisors is an integer number (14015868174).

Almost surely, 21023022020000 is an apocalyptic number.

1023022020000 is a gapful number since it is divisible by the number (10) 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 1023022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681904180880).

1023022020000 is an abundant number, since it is smaller than the sum of its proper divisors (2340786341760).

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

1023022020000 is an equidigital number, since it uses as much as digits as its factorization.

1023022020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41145 (or 41122 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 1023022020000 its reverse (202203201), we get a palindrome (1023224223201).

The spelling of 1023022020000 in words is "one trillion, twenty-three billion, twenty-two million, twenty thousand".