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331000201020 = 223517324510001
BaseRepresentation
bin1001101000100010010…
…01100011111100111100
31011122100222021101222110
410310101021203330330
520410342022413040
6412020455014020
732625331200216
oct4642111437474
91148328241873
10331000201020
11118415a91145
125419736a310
13252a04a1518
141204034b5b6
158924008980
hex4d11263f3c

331000201020 has 48 divisors (see below), whose sum is σ = 981318246048. Its totient is φ = 83074560000.

The previous prime is 331000201019. The next prime is 331000201027. The reversal of 331000201020 is 20102000133.

It is a happy number.

It is a super-2 number, since 2×3310002010202 (a number of 24 digits) contains 22 as substring.

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 = 331000200987 and 331000201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331000201027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162253981 + ... + 162256020.

It is an arithmetic number, because the mean of its divisors is an integer number (20444130126).

Almost surely, 2331000201020 is an apocalyptic number.

331000201020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331000201020 is an abundant number, since it is smaller than the sum of its proper divisors (650318045028).

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

331000201020 is a wasteful number, since it uses less digits than its factorization.

331000201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324510030 (or 324510028 counting only the distinct ones).

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

Adding to 331000201020 its reverse (20102000133), we get a palindrome (351102201153).

The spelling of 331000201020 in words is "three hundred thirty-one billion, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 324510001 649020002 973530003 1298040004 1622550005 1947060006 3245100010 3894120012 4867650015 5516670017 6490200020 9735300030 11033340034 16550010051 19470600060 22066680068 27583350085 33100020102 55166700170 66200040204 82750050255 110333400340 165500100510 331000201020