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31130220 = 223511101467
BaseRepresentation
bin111011011000…
…0001001101100
32011120120122010
41312300021230
530432131340
63031121220
7525413442
oct166601154
964516563
1031130220
1116632660
12a513210
1365ac564
1441c4b92
152aedb80
hex1db026c

31130220 has 96 divisors (see below), whose sum is σ = 96235776. Its totient is φ = 7456000.

The previous prime is 31130171. The next prime is 31130221. The reversal of 31130220 is 2203113.

It is a happy number.

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 = 31130196 and 31130205.

It is not an unprimeable number, because it can be changed into a prime (31130221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66427 + ... + 66893.

It is an arithmetic number, because the mean of its divisors is an integer number (1002456).

Almost surely, 231130220 is an apocalyptic number.

31130220 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 31130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48117888).

31130220 is an abundant number, since it is smaller than the sum of its proper divisors (65105556).

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

31130220 is a wasteful number, since it uses less digits than its factorization.

31130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

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

The square root of 31130220 is about 5579.4462090785. The cubic root of 31130220 is about 314.5773116206.

Adding to 31130220 its reverse (2203113), we get a palindrome (33333333).

The spelling of 31130220 in words is "thirty-one million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 467 505 606 660 934 1010 1111 1212 1401 1515 1868 2020 2222 2335 2802 3030 3333 4444 4670 5137 5555 5604 6060 6666 7005 9340 10274 11110 13332 14010 15411 16665 20548 22220 25685 28020 30822 33330 47167 51370 61644 66660 77055 94334 102740 141501 154110 188668 235835 283002 308220 471670 518837 566004 707505 943340 1037674 1415010 1556511 2075348 2594185 2830020 3113022 5188370 6226044 7782555 10376740 15565110 31130220