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931201020 = 22325192941229
BaseRepresentation
bin110111100000001…
…111111111111100
32101220012220122200
4313200033333330
53401341413040
6232222511500
732035035531
oct6740177774
92356186580
10931201020
11438703122
1221ba35590
1311abcc229
148b95cd88
1556b41630
hex3780fffc

931201020 has 288 divisors, whose sum is σ = 3164616000. Its totient is φ = 220631040.

The previous prime is 931201013. The next prime is 931201031. The reversal of 931201020 is 20102139.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 931200984 and 931201002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4066266 + ... + 4066494.

It is an arithmetic number, because the mean of its divisors is an integer number (10988250).

Almost surely, 2931201020 is an apocalyptic number.

931201020 is a gapful number since it is divisible by the number (90) 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 931201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582308000).

931201020 is an abundant number, since it is smaller than the sum of its proper divisors (2233414980).

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

931201020 is a wasteful number, since it uses less digits than its factorization.

931201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 931201020 is about 30515.5865091923. The cubic root of 931201020 is about 976.5200117340.

Adding to 931201020 its reverse (20102139), we get a palindrome (951303159).

The spelling of 931201020 in words is "nine hundred thirty-one million, two hundred one thousand, twenty".