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331030031220 = 223257262722247
BaseRepresentation
bin1001101000100101110…
…11010110101101110100
31011122110001101221022200
410310102323112231310
520410422141444340
6412023442224500
732626142560560
oct4642273265564
91148401357280
10331030031220
11118430905aa9
12541a5355130
13252a6717125
14120442b46a0
15892694c330
hex4d12ed6b74

331030031220 has 72 divisors (see below), whose sum is σ = 1147570779264. Its totient is φ = 75664006848.

The previous prime is 331030031201. The next prime is 331030031221. The reversal of 331030031220 is 22130030133.

331030031220 is a `hidden beast` number, since 3 + 31 + 0 + 300 + 312 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331030031193 and 331030031202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331030031221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131359864 + ... + 131362383.

Almost surely, 2331030031220 is an apocalyptic number.

331030031220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331030031220 is an abundant number, since it is smaller than the sum of its proper divisors (816540748044).

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

331030031220 is a wasteful number, since it uses less digits than its factorization.

331030031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262722269 (or 262722264 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 331030031220 its reverse (22130030133), we get a palindrome (353160061353).

The spelling of 331030031220 in words is "three hundred thirty-one billion, thirty million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 262722247 525444494 788166741 1050888988 1313611235 1576333482 1839055729 2364500223 2627222470 3152666964 3678111458 3940833705 4729000446 5254444940 5517167187 7356222916 7881667410 9195278645 9458000892 11034334374 11822501115 15763334820 16551501561 18390557290 22068668748 23645002230 27585835935 33103003122 36781114580 47290004460 55171671870 66206006244 82757507805 110343343740 165515015610 331030031220