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2132013120 = 26354154167
BaseRepresentation
bin111111100010011…
…1111000001000000
312111120202111011220
41333010333001000
513331243404440
6551320235040
7103555545456
oct17704770100
95446674156
102132013120
119a4514016
124b600ba80
1327c919233
141632209d6
15c728c8d0
hex7f13f040

2132013120 has 112 divisors (see below), whose sum is σ = 6934370688. Its totient is φ = 554659840.

The previous prime is 2132013119. The next prime is 2132013133. The reversal of 2132013120 is 213102312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2132013120.

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, 12277 + ... + 66443.

It is an arithmetic number, because the mean of its divisors is an integer number (61914024).

Almost surely, 22132013120 is an apocalyptic number.

2132013120 is a gapful number since it is divisible by the number (20) 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 2132013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467185344).

2132013120 is an abundant number, since it is smaller than the sum of its proper divisors (4802357568).

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

2132013120 is a wasteful number, since it uses less digits than its factorization.

2132013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54228 (or 54218 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2132013120 is about 46173.7275948130. The cubic root of 2132013120 is about 1287.0535721849.

Adding to 2132013120 its reverse (213102312), we get a palindrome (2345115432).

The spelling of 2132013120 in words is "two billion, one hundred thirty-two million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 39360 54167 108334 162501 216668 270835 325002 433336 541670 650004 812505 866672 1083340 1300008 1625010 1733344 2166680 2220847 2600016 3250020 3466688 4333360 4441694 5200032 6500040 6662541 8666720 8883388 10400064 11104235 13000080 13325082 17333440 17766776 22208470 26000160 26650164 33312705 35533552 44416940 52000320 53300328 66625410 71067104 88833880 106600656 133250820 142134208 177667760 213201312 266501640 355335520 426402624 533003280 710671040 1066006560 2132013120