Search a number
-
+
12003331032 = 2335711175389
BaseRepresentation
bin10110010110111010…
…00100101111011000
31010222112101101200000
423023131010233120
5144040323043112
65303025013000
7603311426130
oct131335045730
933875341600
1012003331032
1150aa6272a0
1223aba84160
131193a5ca54
1481c247ac0
154a3bcc7dc
hex2cb744bd8

12003331032 has 768 divisors, whose sum is σ = 45853516800. Its totient is φ = 2846638080.

The previous prime is 12003331031. The next prime is 12003331033. The reversal of 12003331032 is 23013330021.

It is an interprime number because it is at equal distance from previous prime (12003331031) and next prime (12003331033).

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

It is a junction number, because it is equal to n+sod(n) for n = 12003330996 and 12003331014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003331031) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134868844 + ... + 134868932.

It is an arithmetic number, because the mean of its divisors is an integer number (59705100).

Almost surely, 212003331032 is an apocalyptic number.

12003331032 is a gapful number since it is divisible by the number (12) 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 12003331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22926758400).

12003331032 is an abundant number, since it is smaller than the sum of its proper divisors (33850185768).

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

12003331032 is a wasteful number, since it uses less digits than its factorization.

12003331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12003331032 its reverse (23013330021), we get a palindrome (35016661053).

The spelling of 12003331032 in words is "twelve billion, three million, three hundred thirty-one thousand, thirty-two".