Search a number
-
+
3332231301120 = 211351014212551
BaseRepresentation
bin110000011111011000011…
…101101000100000000000
3102210120001221002001021120
4300133120131220200000
5414043402203113440
611030450025152240
7462513540502401
oct60373035504000
912716057061246
103332231301120
111075211775617
1245998562b680
131b22c7094507
14b73d094b9a8
155ba2b87cdd0
hex307d8768800

3332231301120 has 384 divisors, whose sum is σ = 10795889744640. Its totient is φ = 877363200000.

The previous prime is 3332231301109. The next prime is 3332231301121. The reversal of 3332231301120 is 211031322333.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33322313011202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3332231301121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1306243845 + ... + 1306246395.

It is an arithmetic number, because the mean of its divisors is an integer number (28114296210).

Almost surely, 23332231301120 is an apocalyptic number.

3332231301120 is a gapful number since it is divisible by the number (30) 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 3332231301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397944872320).

3332231301120 is an abundant number, since it is smaller than the sum of its proper divisors (7463658443520).

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

3332231301120 is a wasteful number, since it uses less digits than its factorization.

3332231301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 3332231301120 its reverse (211031322333), we get a palindrome (3543262623453).

The spelling of 3332231301120 in words is "three trillion, three hundred thirty-two billion, two hundred thirty-one million, three hundred one thousand, one hundred twenty".