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31200200100 = 22325234666889
BaseRepresentation
bin11101000011101011…
…010100010110100100
32222112101200101101200
4131003223110112210
51002344222400400
622155544322500
72153112216336
oct350353242644
988471611350
1031200200100
1112260777143
126068a73430
132c32c29684
14171d9cb456
15c291a3b00
hex743ad45a4

31200200100 has 54 divisors (see below), whose sum is σ = 97795296690. Its totient is φ = 8320053120.

The previous prime is 31200200081. The next prime is 31200200137. The reversal of 31200200100 is 100200213.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1623767616 + 29576432484 = 40296^2 + 171978^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 17332545 + ... + 17334344.

Almost surely, 231200200100 is an apocalyptic number.

31200200100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31200200100 is an abundant number, since it is smaller than the sum of its proper divisors (66595096590).

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

31200200100 is a wasteful number, since it uses less digits than its factorization.

31200200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34666909 (or 34666899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 31200200100 its reverse (100200213), we get a palindrome (31300400313).

The spelling of 31200200100 in words is "thirty-one billion, two hundred million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 34666889 69333778 104000667 138667556 173334445 208001334 312002001 346668890 416002668 520003335 624004002 693337780 866672225 1040006670 1248008004 1560010005 1733344450 2080013340 2600016675 3120020010 3466688900 5200033350 6240040020 7800050025 10400066700 15600100050 31200200100