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311022020 = 225195315443
BaseRepresentation
bin10010100010011…
…101000111000100
3210200020120000002
4102202131013010
51114110201040
650510140432
710464433511
oct2242350704
9720216002
10311022020
1114a6224a1
12881b1718
134c5898ca
142d442308
151c489a15
hex1289d1c4

311022020 has 48 divisors (see below), whose sum is σ = 700539840. Its totient is φ = 115629696.

The previous prime is 311021957. The next prime is 311022043. The reversal of 311022020 is 20220113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 311021992 and 311022010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12419 + ... + 27861.

It is an arithmetic number, because the mean of its divisors is an integer number (14594580).

Almost surely, 2311022020 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 311022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350269920).

311022020 is an abundant number, since it is smaller than the sum of its proper divisors (389517820).

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

311022020 is a wasteful number, since it uses less digits than its factorization.

311022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15524 (or 15522 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 311022020 is about 17635.8163973205. The cubic root of 311022020 is about 677.5328851201.

Adding to 311022020 its reverse (20220113), we get a palindrome (331242133).

The spelling of 311022020 in words is "three hundred eleven million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 4028 5035 10070 15443 20140 30886 61772 77215 154430 293417 308860 586834 818479 1173668 1467085 1636958 2934170 3273916 4092395 5868340 8184790 15551101 16369580 31102202 62204404 77755505 155511010 311022020