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1242320200 = 2352111015591
BaseRepresentation
bin100101000001100…
…0100110101001000
310012120122101221021
41022003010311020
510021013221300
6323135122224
742533355532
oct11203046510
93176571837
101242320200
11588291610
122a8073374
1316a4c1114
14badc8852
15740e9d1a
hex4a0c4d48

1242320200 has 96 divisors (see below), whose sum is σ = 3182742720. Its totient is φ = 447200000.

The previous prime is 1242320173. The next prime is 1242320201. The reversal of 1242320200 is 20232421.

It is not an unprimeable number, because it can be changed into a prime (1242320201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219405 + ... + 224995.

It is an arithmetic number, because the mean of its divisors is an integer number (33153570).

Almost surely, 21242320200 is an apocalyptic number.

1242320200 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 1242320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591371360).

1242320200 is an abundant number, since it is smaller than the sum of its proper divisors (1940422520).

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

1242320200 is a wasteful number, since it uses less digits than its factorization.

1242320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1242320200 is about 35246.5629530029. The cubic root of 1242320200 is about 1075.0067279190.

Adding to 1242320200 its reverse (20232421), we get a palindrome (1262552621).

It can be divided in two parts, 12423 and 20200, that added together give a palindrome (32623).

The spelling of 1242320200 in words is "one billion, two hundred forty-two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 5591 8888 10100 11110 11182 20200 22220 22364 27775 27955 44440 44728 55550 55910 61501 111100 111820 123002 139775 222200 223640 246004 279550 307505 492008 559100 564691 615010 1118200 1129382 1230020 1537525 2258764 2460040 2823455 3075050 4517528 5646910 6150100 6211601 11293820 12300200 12423202 14117275 22587640 24846404 28234550 31058005 49692808 56469100 62116010 112938200 124232020 155290025 248464040 310580050 621160100 1242320200