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311020020 = 22335575963
BaseRepresentation
bin10010100010011…
…100100111110100
3210200020110021000
4102202130213310
51114110120040
650510123300
710464424623
oct2242344764
9720213230
10311020020
1114a620a43
12881b0530
134c588a1c
142d4416ba
151c489130
hex1289c9f4

311020020 has 48 divisors (see below), whose sum is σ = 967619520. Its totient is φ = 82938528.

The previous prime is 311020013. The next prime is 311020027. The reversal of 311020020 is 20020113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (311020013) and next prime (311020027).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 311019984 and 311020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311020027) 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, 287442 + ... + 288521.

It is an arithmetic number, because the mean of its divisors is an integer number (20158740).

Almost surely, 2311020020 is an apocalyptic number.

311020020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311020020 is an abundant number, since it is smaller than the sum of its proper divisors (656599500).

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

311020020 is a wasteful number, since it uses less digits than its factorization.

311020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575981 (or 575973 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 311020020 is about 17635.7596944390. The cubic root of 311020020 is about 677.5314328449.

Adding to 311020020 its reverse (20020113), we get a palindrome (331040133).

The spelling of 311020020 in words is "three hundred eleven million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 575963 1151926 1727889 2303852 2879815 3455778 5183667 5759630 6911556 8639445 10367334 11519260 15551001 17278890 20734668 25918335 31102002 34557780 51836670 62204004 77755005 103673340 155510010 311020020