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311023020 = 2235711232927
BaseRepresentation
bin10010100010011…
…101010110101100
3210200020121101010
4102202131112230
51114110214040
650510145220
710464436440
oct2242352654
9720217333
10311023020
1114a623220
12881b2210
134c58a1b9
142d442820
151c489e80
hex1289d5ac

311023020 has 192 divisors, whose sum is σ = 1133346816. Its totient is φ = 61797120.

The previous prime is 311023019. The next prime is 311023021. The reversal of 311023020 is 20320113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311023019) and next prime (311023021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 311022987 and 311023005.

It is not an unprimeable number, because it can be changed into a prime (311023021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104797 + ... + 107723.

It is an arithmetic number, because the mean of its divisors is an integer number (5902848).

Almost surely, 2311023020 is an apocalyptic number.

311023020 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 311023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566673408).

311023020 is an abundant number, since it is smaller than the sum of its proper divisors (822323796).

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

311023020 is a wasteful number, since it uses less digits than its factorization.

311023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 311023020 is about 17635.8447486929. The cubic root of 311023020 is about 677.5336112553.

Adding to 311023020 its reverse (20320113), we get a palindrome (331343133).

The spelling of 311023020 in words is "three hundred eleven million, twenty-three thousand, twenty".