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320331103400 = 235271131670991
BaseRepresentation
bin1001010100101010011…
…10001011110010101000
31010121211102111002110202
410222111032023302220
520222014230302100
6403054051131332
732100050311310
oct4522516136250
91117742432422
10320331103400
111139406141a0
12520ba2a3b48
132428cca45c9
141170b3b6440
1584ec52e7d5
hex4a9538bca8

320331103400 has 192 divisors, whose sum is σ = 958498652160. Its totient is φ = 96622560000.

The previous prime is 320331103397. The next prime is 320331103429. The reversal of 320331103400 is 4301133023.

It is a super-2 number, since 2×3203311034002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141905 + ... + 812895.

It is an arithmetic number, because the mean of its divisors is an integer number (4992180480).

Almost surely, 2320331103400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320331103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479249326080).

320331103400 is an abundant number, since it is smaller than the sum of its proper divisors (638167548760).

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

320331103400 is a wasteful number, since it uses less digits than its factorization.

320331103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671056 (or 671047 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 320331103400 its reverse (4301133023), we get a palindrome (324632236423).

The spelling of 320331103400 in words is "three hundred twenty billion, three hundred thirty-one million, one hundred three thousand, four hundred".