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1331942820 = 2235131998581
BaseRepresentation
bin100111101100011…
…1101010110100100
310102211021201001120
41033120331112210
510211434132240
6340100053540
745002220135
oct11730752644
93384251046
101331942820
1162393539a
123120942b0
13182c40360
14c8c77c8c
157bdeead0
hex4f63d5a4

1331942820 has 96 divisors (see below), whose sum is σ = 4036972800. Its totient is φ = 326177280.

The previous prime is 1331942813. The next prime is 1331942837. The reversal of 1331942820 is 282491331.

1331942820 is nontrivially palindromic in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150930 + ... + 159510.

It is an arithmetic number, because the mean of its divisors is an integer number (42051800).

Almost surely, 21331942820 is an apocalyptic number.

1331942820 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 1331942820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018486400).

1331942820 is an abundant number, since it is smaller than the sum of its proper divisors (2705029980).

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

1331942820 is a wasteful number, since it uses less digits than its factorization.

1331942820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8803 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1331942820 is about 36495.7918122076. The cubic root of 1331942820 is about 1100.2596687247.

The spelling of 1331942820 in words is "one billion, three hundred thirty-one million, nine hundred forty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 199 260 390 398 597 780 796 995 1194 1990 2388 2587 2985 3980 5174 5970 7761 8581 10348 11940 12935 15522 17162 25743 25870 31044 34324 38805 42905 51486 51740 77610 85810 102972 111553 128715 155220 171620 223106 257430 334659 446212 514860 557765 669318 1115530 1338636 1673295 1707619 2231060 3346590 3415238 5122857 6693180 6830476 8538095 10245714 17076190 20491428 22199047 25614285 34152380 44398094 51228570 66597141 88796188 102457140 110995235 133194282 221990470 266388564 332985705 443980940 665971410 1331942820