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320122331130000 = 2435472116372031
BaseRepresentation
bin100100011001001100100100…
…1110101001110100010010000
31112222110101200200000101012110
41020302121021311032202100
5313424341013232130000
63052502100235025320
7124300034535121530
oct11062311165164220
91488411620011173
10320122331130000
11930011333950a3
122baa1a28b9b240
1310981538827479
14590a00984d4c0
1527021b316a850
hex1232649d4e890

320122331130000 has 400 divisors, whose sum is σ = 1181097994858496. Its totient is φ = 73166345280000.

The previous prime is 320122331129929. The next prime is 320122331130061. The reversal of 320122331130000 is 31133221023.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4444193985 + ... + 4444266015.

Almost surely, 2320122331130000 is an apocalyptic number.

320122331130000 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 320122331130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590548997429248).

320122331130000 is an abundant number, since it is smaller than the sum of its proper divisors (860975663728496).

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

320122331130000 is a wasteful number, since it uses less digits than its factorization.

320122331130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93232 (or 93211 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 320122331130000 its reverse (31133221023), we get a palindrome (320153464351023).

The spelling of 320122331130000 in words is "three hundred twenty trillion, one hundred twenty-two billion, three hundred thirty-one million, one hundred thirty thousand".