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1331012420 = 225295714019
BaseRepresentation
bin100111101010101…
…1010001101000100
310102202112102210022
41033111122031010
510211214344140
6340024114312
744661263453
oct11725321504
93382472708
101331012420
1162335a371
12311905998
131829a5a1a
14c8ab4b9a
157bcb90b5
hex4f55a344

1331012420 has 48 divisors (see below), whose sum is σ = 2897294400. Its totient is φ = 513018240.

The previous prime is 1331012413. The next prime is 1331012443. The reversal of 1331012420 is 242101331.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329171 + ... + 333189.

It is an arithmetic number, because the mean of its divisors is an integer number (60360300).

Almost surely, 21331012420 is an apocalyptic number.

1331012420 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 1331012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448647200).

1331012420 is an abundant number, since it is smaller than the sum of its proper divisors (1566281980).

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

1331012420 is a wasteful number, since it uses less digits than its factorization.

1331012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4628 (or 4626 counting only the distinct ones).

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

The square root of 1331012420 is about 36483.0429103714. The cubic root of 1331012420 is about 1100.0034214770.

Adding to 1331012420 its reverse (242101331), we get a palindrome (1573113751).

The spelling of 1331012420 in words is "one billion, three hundred thirty-one million, twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 571 580 1142 2284 2855 4019 5710 8038 11420 16076 16559 20095 33118 40190 66236 80380 82795 116551 165590 233102 331180 466204 582755 1165510 2294849 2331020 4589698 9179396 11474245 22948490 45896980 66550621 133101242 266202484 332753105 665506210 1331012420