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1331150220 = 223353896337
BaseRepresentation
bin100111101010111…
…1011110110001100
310102202210102211000
41033111323312030
510211233301340
6340031100300
744662406301
oct11725736614
93382712730
101331150220
11623443954
12311971690
13182a2366a
14c8b0d0a8
157bce4d30
hex4f57bd8c

1331150220 has 96 divisors (see below), whose sum is σ = 4152657600. Its totient is φ = 354004992.

The previous prime is 1331150179. The next prime is 1331150251. The reversal of 1331150220 is 220511331.

1331150220 is a `hidden beast` number, since 133 + 11 + 502 + 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 = 1331150193 and 1331150202.

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, 206892 + ... + 213228.

It is an arithmetic number, because the mean of its divisors is an integer number (43256850).

Almost surely, 21331150220 is an apocalyptic number.

1331150220 is a gapful number since it is divisible by the number (10) 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 1331150220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076328800).

1331150220 is an abundant number, since it is smaller than the sum of its proper divisors (2821507380).

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

1331150220 is a wasteful number, since it uses less digits than its factorization.

1331150220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1331150220 is about 36484.9314101041. The cubic root of 1331150220 is about 1100.0413813633.

Adding to 1331150220 its reverse (220511331), we get a palindrome (1551661551).

The spelling of 1331150220 in words is "one billion, three hundred thirty-one million, one hundred fifty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 389 540 778 1167 1556 1945 2334 3501 3890 4668 5835 6337 7002 7780 10503 11670 12674 14004 17505 19011 21006 23340 25348 31685 35010 38022 42012 52515 57033 63370 70020 76044 95055 105030 114066 126740 171099 190110 210060 228132 285165 342198 380220 570330 684396 855495 1140660 1710990 2465093 3421980 4930186 7395279 9860372 12325465 14790558 22185837 24650930 29581116 36976395 44371674 49301860 66557511 73952790 88743348 110929185 133115022 147905580 221858370 266230044 332787555 443716740 665575110 1331150220