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120300103332 = 223210133085837
BaseRepresentation
bin111000000001001110…
…0011110011010100100
3102111111220212102212200
41300002130132122210
53432333311301312
6131133132414500
711456102002143
oct1600234363244
9374456772780
10120300103332
11470232aa202
121b394317430
13b4624201c6
145b7314575a
1531e14d50dc
hex1c0271e6a4

120300103332 has 36 divisors (see below), whose sum is σ = 307102748316. Its totient is φ = 39703003200.

The previous prime is 120300103307. The next prime is 120300103337. The reversal of 120300103332 is 233301003021.

120300103332 is a `hidden beast` number, since 1 + 20 + 300 + 10 + 3 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88962606756 + 31337496576 = 298266^2 + 177024^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1203001033322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120300103337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16539283 + ... + 16546554.

Almost surely, 2120300103332 is an apocalyptic number.

120300103332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120300103332 is an abundant number, since it is smaller than the sum of its proper divisors (186802644984).

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

120300103332 is a wasteful number, since it uses less digits than its factorization.

120300103332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33085948 (or 33085943 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 120300103332 its reverse (233301003021), we get a palindrome (353601106353).

The spelling of 120300103332 in words is "one hundred twenty billion, three hundred million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 33085837 66171674 99257511 132343348 198515022 297772533 397030044 595545066 1191090132 3341669537 6683339074 10025008611 13366678148 20050017222 30075025833 40100034444 60150051666 120300103332