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1331410220 = 225737416269
BaseRepresentation
bin100111101011011…
…1011010100101100
310102210021122110122
41033112323110230
510211320111340
6340040424112
744664541310
oct11726732454
93383248418
101331410220
11623601228
12311a78038
13182ab4aca
14c8b79b40
157bd46db5
hex4f5bb52c

1331410220 has 96 divisors (see below), whose sum is σ = 3362325120. Its totient is φ = 433244160.

The previous prime is 1331410207. The next prime is 1331410259. The reversal of 1331410220 is 220141331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209246 + ... + 215514.

It is an arithmetic number, because the mean of its divisors is an integer number (35024220).

Almost surely, 21331410220 is an apocalyptic number.

1331410220 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 1331410220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681162560).

1331410220 is an abundant number, since it is smaller than the sum of its proper divisors (2030914900).

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

1331410220 is a wasteful number, since it uses less digits than its factorization.

1331410220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1331410220 is about 36488.4943509595. The cubic root of 1331410220 is about 1100.1129966566.

Adding to 1331410220 its reverse (220141331), we get a palindrome (1551551551).

The spelling of 1331410220 in words is "one billion, three hundred thirty-one million, four hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 41 70 74 82 140 148 164 185 205 259 287 370 410 518 574 740 820 1036 1148 1295 1435 1517 2590 2870 3034 5180 5740 6068 6269 7585 10619 12538 15170 21238 25076 30340 31345 42476 43883 53095 62690 87766 106190 125380 175532 212380 219415 231953 257029 438830 463906 514058 877660 927812 1028116 1159765 1285145 1623671 1799203 2319530 2570290 3247342 3598406 4639060 5140580 6494684 7196812 8118355 8996015 9510073 16236710 17992030 19020146 32473420 35984060 38040292 47550365 66570511 95100730 133141022 190201460 266282044 332852555 665705110 1331410220