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13330111032 = 233575231873
BaseRepresentation
bin11000110101000100…
…10101101000111000
31021101222221210200000
430122202111220320
5204300002023112
610042422313000
7651222034320
oct143242255070
937358853600
1013330111032
115720555797
122700288760
1313458b3184
1490653a280
1553040c7dc
hex31a895a38

13330111032 has 192 divisors, whose sum is σ = 42892711680. Its totient is φ = 3799291392.

The previous prime is 13330111021. The next prime is 13330111033. The reversal of 13330111032 is 23011103331.

It is a happy number.

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 = 13330110996 and 13330111014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330111033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7116048 + ... + 7117920.

It is an arithmetic number, because the mean of its divisors is an integer number (223399540).

Almost surely, 213330111032 is an apocalyptic number.

13330111032 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 13330111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21446355840).

13330111032 is an abundant number, since it is smaller than the sum of its proper divisors (29562600648).

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

13330111032 is a wasteful number, since it uses less digits than its factorization.

13330111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13330111032 its reverse (23011103331), we get a palindrome (36341214363).

The spelling of 13330111032 in words is "thirteen billion, three hundred thirty million, one hundred eleven thousand, thirty-two".