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1331231220 = 2233511224113
BaseRepresentation
bin100111101011000…
…1111100111110100
310102202221112221000
41033112033213310
510211243344340
6340032523300
744663164404
oct11726174764
93382845830
101331231220
116234997a0
123119b0530
13182a514a7
14c8b30804
157bd0dd30
hex4f58f9f4

1331231220 has 96 divisors (see below), whose sum is σ = 4518138240. Its totient is φ = 322721280.

The previous prime is 1331231197. The next prime is 1331231261. The reversal of 1331231220 is 221321331.

1331231220 is a `hidden beast` number, since 1 + 331 + 2 + 312 + 20 = 666.

It is a super-2 number, since 2×13312312202 = 3544353122205376800, which contains 22 as substring.

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 = 1331231193 and 1331231202.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 106117 + ... + 117996.

It is an arithmetic number, because the mean of its divisors is an integer number (47063940).

Almost surely, 21331231220 is an apocalyptic number.

1331231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331231220 is an abundant number, since it is smaller than the sum of its proper divisors (3186907020).

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

1331231220 is a wasteful number, since it uses less digits than its factorization.

1331231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224142 (or 224134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1331231220 is about 36486.0414405290. The cubic root of 1331231220 is about 1100.0636932816.

Adding to 1331231220 its reverse (221321331), we get a palindrome (1552552551).

The spelling of 1331231220 in words is "one billion, three hundred thirty-one million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 224113 448226 672339 896452 1120565 1344678 2017017 2241130 2465243 2689356 3361695 4034034 4482260 4930486 6051051 6723390 7395729 8068068 9860972 10085085 12102102 12326215 13446780 14791458 20170170 22187187 24204204 24652430 29582916 30255255 36978645 40340340 44374374 49304860 60510510 66561561 73957290 88748748 110935935 121021020 133123122 147914580 221871870 266246244 332807805 443743740 665615610 1331231220