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311232020 = 225111997109
BaseRepresentation
bin10010100011010…
…000011000010100
3210200122020001212
4102203100120110
51114133411040
650514440552
710466266661
oct2243203024
9720566055
10311232020
1114a756250
1288293158
134c631378
142d498a68
151c4cbd65
hex128d0614

311232020 has 48 divisors (see below), whose sum is σ = 716688000. Its totient is φ = 112590720.

The previous prime is 311232013. The next prime is 311232023. The reversal of 311232020 is 20232113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 311231986 and 311232004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311232023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40226 + ... + 47334.

It is an arithmetic number, because the mean of its divisors is an integer number (14931000).

Almost surely, 2311232020 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 311232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358344000).

311232020 is an abundant number, since it is smaller than the sum of its proper divisors (405455980).

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

311232020 is a wasteful number, since it uses less digits than its factorization.

311232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7328 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 311232020 is about 17641.7691856571. The cubic root of 311232020 is about 677.6853393796.

Adding to 311232020 its reverse (20232113), we get a palindrome (331464133).

The spelling of 311232020 in words is "three hundred eleven million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 796 995 1990 2189 3980 4378 7109 8756 10945 14218 21890 28436 35545 43780 71090 78199 142180 156398 312796 390995 781990 1414691 1563980 2829382 5658764 7073455 14146910 15561601 28293820 31123202 62246404 77808005 155616010 311232020