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120200300100 = 223252133555889
BaseRepresentation
bin110111111110001111…
…1110000011001000100
3102111020222001220120200
41233330133300121010
53432132234100400
6131115205330500
711453450456466
oct1577437603104
9374228056520
10120200300100
1146a81a325a1
121b366a06a30
13b44784813a
145b63ba6136
1531d786db00
hex1bfc7f0644

120200300100 has 54 divisors (see below), whose sum is σ = 376761165690. Its totient is φ = 32053413120.

The previous prime is 120200300093. The next prime is 120200300107. The reversal of 120200300100 is 1003002021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120200300093) and next prime (120200300107).

It can be written as a sum of positive squares in 3 ways, for example, as 31791603204 + 88408696896 = 178302^2 + 297336^2 .

It is a super-2 number, since 2×1202003001002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120200300107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66777045 + ... + 66778844.

Almost surely, 2120200300100 is an apocalyptic number.

120200300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200300100 is an abundant number, since it is smaller than the sum of its proper divisors (256560865590).

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

120200300100 is a wasteful number, since it uses less digits than its factorization.

120200300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133555909 (or 133555899 counting only the distinct ones).

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

Adding to 120200300100 its reverse (1003002021), we get a palindrome (121203302121).

The spelling of 120200300100 in words is "one hundred twenty billion, two hundred million, three 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 133555889 267111778 400667667 534223556 667779445 801335334 1202003001 1335558890 1602670668 2003338335 2404006002 2671117780 3338897225 4006676670 4808012004 6010015005 6677794450 8013353340 10016691675 12020030010 13355588900 20033383350 24040060020 30050075025 40066766700 60100150050 120200300100