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1200020230100 = 2252174117216933
BaseRepresentation
bin10001011101100110110…
…001111000111111010100
311020201110110202220110102
4101131212301320333110
5124130120134330400
62315140502113232
7152461422440636
oct21354661707724
94221413686412
101200020230100
11422a2015428a
121746a441b818
138921384ba93
144211d0b2a56
15213368849d5
hex11766c78fd4

1200020230100 has 72 divisors (see below), whose sum is σ = 2824472456568. Its totient is φ = 440753459200.

The previous prime is 1200020230091. The next prime is 1200020230103. The reversal of 1200020230100 is 10320200021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 256445011216 + 943575218884 = 506404^2 + 971378^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200020230103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8538767 + ... + 8678166.

It is an arithmetic number, because the mean of its divisors is an integer number (39228784119).

Almost surely, 21200020230100 is an apocalyptic number.

1200020230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200020230100 is an abundant number, since it is smaller than the sum of its proper divisors (1624452226468).

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

1200020230100 is a wasteful number, since it uses less digits than its factorization.

1200020230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17217005 (or 17216998 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1200020230100 its reverse (10320200021), we get a palindrome (1210340430121).

The spelling of 1200020230100 in words is "one trillion, two hundred billion, twenty million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 340 410 425 697 820 850 1025 1394 1700 2050 2788 3485 4100 6970 13940 17425 34850 69700 17216933 34433866 68867732 86084665 172169330 292687861 344338660 430423325 585375722 705894253 860846650 1170751444 1411788506 1463439305 1721693300 2823577012 2926878610 3529471265 5853757220 7058942530 7317196525 12000202301 14117885060 14634393050 17647356325 24000404602 29268786100 35294712650 48000809204 60001011505 70589425300 120002023010 240004046020 300005057525 600010115050 1200020230100