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13042323031200 = 2535210153804963
BaseRepresentation
bin1011110111001010011100…
…0010000000010010100000
31201011211111220202021111120
42331302213002000102200
53202141134143444300
643423321022012240
72514163631416041
oct275624702002240
951154456667446
1013042323031200
11417924437a531
121567833717080
13737b690b7b48
14331374d388c8
151793da08e3a0
hexbdca70804a0

13042323031200 has 144 divisors (see below), whose sum is σ = 42873086634336. Its totient is φ = 3443517568000.

The previous prime is 13042323031159. The next prime is 13042323031207. The reversal of 13042323031200 is 213032324031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13042323031207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26660082 + ... + 27144881.

It is an arithmetic number, because the mean of its divisors is an integer number (297729768294).

Almost surely, 213042323031200 is an apocalyptic number.

13042323031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13042323031200 is an abundant number, since it is smaller than the sum of its proper divisors (29830763603136).

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

13042323031200 is a wasteful number, since it uses less digits than its factorization.

13042323031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53805087 (or 53805074 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13042323031200 its reverse (213032324031), we get a palindrome (13255355355231).

The spelling of 13042323031200 in words is "thirteen trillion, forty-two billion, three hundred twenty-three million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 101 120 150 160 200 202 240 300 303 400 404 480 505 600 606 800 808 1010 1200 1212 1515 1616 2020 2400 2424 2525 3030 3232 4040 4848 5050 6060 7575 8080 9696 10100 12120 15150 16160 20200 24240 30300 40400 48480 60600 80800 121200 242400 53804963 107609926 161414889 215219852 269024815 322829778 430439704 538049630 645659556 807074445 860879408 1076099260 1291319112 1345124075 1614148890 1721758816 2152198520 2582638224 2690248150 3228297780 4035372225 4304397040 5165276448 5380496300 5434301263 6456595560 8070744450 8608794080 10760992600 10868602526 12913191120 16141488900 16302903789 21521985200 21737205052 25826382240 27171506315 32282977800 32605807578 43043970400 43474410104 54343012630 64565955600 65211615156 81514518945 86948820208 108686025260 129131911200 130423230312 135857531575 163029037890 173897640416 217372050520 260846460624 271715063150 326058075780 407572594725 434744101040 521692921248 543430126300 652116151560 815145189450 869488202080 1086860252600 1304232303120 1630290378900 2173720505200 2608464606240 3260580757800 4347441010400 6521161515600 13042323031200