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320200132013312 = 28172329437136131
BaseRepresentation
bin100100011001110000110011…
…1001000000010110100000000
31112222201211111202002202020012
41020303201213020002310000
5313432124332243411222
63053001524314004052
7124305460524533315
oct11063414710026400
91488654452082205
10320200132013312
1193031127a15271
122bab4b20416628
13109889871799b5
14590daaa4dad0c
1527042185441e2
hex1233867202d00

320200132013312 has 576 divisors, whose sum is σ = 758059118530560. Its totient is φ = 134006528409600.

The previous prime is 320200132013303. The next prime is 320200132013339. The reversal of 320200132013312 is 213310231002023.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8862181487 + ... + 8862217617.

It is an arithmetic number, because the mean of its divisors is an integer number (1316074858560).

Almost surely, 2320200132013312 is an apocalyptic number.

320200132013312 is a gapful number since it is divisible by the number (32) 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 320200132013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379029559265280).

320200132013312 is an abundant number, since it is smaller than the sum of its proper divisors (437858986517248).

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

320200132013312 is a wasteful number, since it uses less digits than its factorization.

320200132013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36330 (or 36316 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 320200132013312 its reverse (213310231002023), we get a palindrome (533510363015335).

The spelling of 320200132013312 in words is "three hundred twenty trillion, two hundred billion, one hundred thirty-two million, thirteen thousand, three hundred twelve".