Search a number
-
+
331213443000000 = 263561110036771
BaseRepresentation
bin100101101001111001010001…
…1100111010110011011000000
31121102201200210022201121112120
41023103302203213112123000
5321403100112402000000
63132233204414124240
7126523244611403211
oct11323624347263300
91542650708647476
10331213443000000
1196597917947520
1231193473ab0680
13112a73a8219222
145bb0b5d831408
15284594d5ce6a0
hex12d3ca39d66c0

331213443000000 has 392 divisors, whose sum is σ = 1194987870209472. Its totient is φ = 80294160000000.

The previous prime is 331213442999981. The next prime is 331213443000001. The reversal of 331213443000000 is 344312133.

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 (331213443000001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27981615 + ... + 38018385.

Almost surely, 2331213443000000 is an apocalyptic number.

331213443000000 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 331213443000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597493935104736).

331213443000000 is an abundant number, since it is smaller than the sum of its proper divisors (863774427209472).

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

331213443000000 is an equidigital number, since it uses as much as digits as its factorization.

331213443000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10036827 (or 10036792 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 331213443000000 its reverse (344312133), we get a palindrome (331213787312133).

The spelling of 331213443000000 in words is "three hundred thirty-one trillion, two hundred thirteen billion, four hundred forty-three million", and thus it is an aban number.