Search a number
-
+
13300300033332 = 223131719672127463
BaseRepresentation
bin1100000110001011011110…
…1010001010110100110100
31202002111101202222211101020
43001202313222022310310
53220403003302031312
644142023512301140
72541625555642554
oct301426752126464
952074352884336
1013300300033332
1142686976a3524
1215a982b6a17b0
1375629c9c7030
1433da48d49164
15180e8835e78c
hexc18b7a8ad34

13300300033332 has 576 divisors, whose sum is σ = 38194035425280. Its totient is φ = 3558483726336.

The previous prime is 13300300033327. The next prime is 13300300033369. The reversal of 13300300033332 is 23333000300331.

It is a happy number.

It is a super-2 number, since 2×133003000333322 (a number of 27 digits) contains 22 as substring.

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, 28726349733 + ... + 28726350195.

It is an arithmetic number, because the mean of its divisors is an integer number (66309089280).

Almost surely, 213300300033332 is an apocalyptic number.

13300300033332 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 13300300033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19097017712640).

13300300033332 is an abundant number, since it is smaller than the sum of its proper divisors (24893735391948).

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

13300300033332 is a wasteful number, since it uses less digits than its factorization.

13300300033332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 13300300033332 its reverse (23333000300331), we get a palindrome (36633300333663).

The spelling of 13300300033332 in words is "thirteen trillion, three hundred billion, three hundred million, thirty-three thousand, three hundred thirty-two".