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31200242000 = 2453192273617
BaseRepresentation
bin11101000011101011…
…011110100101010000
32222112101202111212112
4131003223132211100
51002344230221000
622155545244452
72153112452444
oct350353364520
988471674775
1031200242000
11122607a5674
126068a93728
132c32c42775
14171d9dc824
15c291b1235
hex743ade950

31200242000 has 160 divisors (see below), whose sum is σ = 79784714880. Its totient is φ = 11767910400.

The previous prime is 31200241993. The next prime is 31200242009. The reversal of 31200242000 is 24200213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200242009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8624192 + ... + 8627808.

It is an arithmetic number, because the mean of its divisors is an integer number (498654468).

Almost surely, 231200242000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31200242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39892357440).

31200242000 is an abundant number, since it is smaller than the sum of its proper divisors (48584472880).

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

31200242000 is a wasteful number, since it uses less digits than its factorization.

31200242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 31200242000 its reverse (24200213), we get a palindrome (31224442213).

The spelling of 31200242000 in words is "thirty-one billion, two hundred million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 227 250 304 380 400 454 475 500 760 908 950 1000 1135 1520 1816 1900 2000 2270 2375 3617 3632 3800 4313 4540 4750 5675 7234 7600 8626 9080 9500 11350 14468 17252 18085 18160 19000 21565 22700 28375 28936 34504 36170 38000 43130 45400 56750 57872 68723 69008 72340 86260 90425 90800 107825 113500 137446 144680 172520 180850 215650 227000 274892 289360 343615 345040 361700 431300 452125 454000 539125 549784 687230 723400 821059 862600 904250 1078250 1099568 1374460 1446800 1642118 1718075 1725200 1808500 2156500 2748920 3284236 3436150 3617000 4105295 4313000 5497840 6568472 6872300 7234000 8210590 8590375 8626000 13136944 13744600 15600121 16421180 17180750 20526475 27489200 31200242 32842360 34361500 41052950 62400484 65684720 68723000 78000605 82105900 102632375 124800968 137446000 156001210 164211800 205264750 249601936 312002420 328423600 390003025 410529500 624004840 780006050 821059000 1248009680 1560012100 1642118000 1950015125 3120024200 3900030250 6240048400 7800060500 15600121000 31200242000