Search a number
-
+
11231301000 = 233531012367
BaseRepresentation
bin10100111010111000…
…00000110110001000
31001222201200012120010
422131130000312020
5141000203113000
65054245431520
7545215324533
oct123534006610
931881605503
1011231301000
11484385a747
12221540b5a0
13109cb20b4a
147878bda1a
1545b02cd50
hex29d700d88

11231301000 has 192 divisors, whose sum is σ = 35488477440. Its totient is φ = 2957280000.

The previous prime is 11231300953. The next prime is 11231301043. The reversal of 11231301000 is 10313211.

It is a super-2 number, since 2×112313010002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30602817 + ... + 30603183.

It is an arithmetic number, because the mean of its divisors is an integer number (184835820).

Almost surely, 211231301000 is an apocalyptic number.

11231301000 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 11231301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744238720).

11231301000 is an abundant number, since it is smaller than the sum of its proper divisors (24257176440).

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

11231301000 is a wasteful number, since it uses less digits than its factorization.

11231301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11231301000 its reverse (10313211), we get a palindrome (11241614211).

The spelling of 11231301000 in words is "eleven billion, two hundred thirty-one million, three hundred one thousand".