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120504001331 = 7863160712413
BaseRepresentation
bin111000000111010011…
…0010010001100110011
3102112001010112112100102
41300032212102030303
53433243011020311
6131205254543015
711464126053020
oct1601646221463
9375033475312
10120504001331
114711840484a
121b430667a6b
13b4957407cc
145b92260547
15320435e43b
hex1c0e992333

120504001331 has 16 divisors (see below), whose sum is σ = 137975353344. Its totient is φ = 103096951584.

The previous prime is 120504001309. The next prime is 120504001349. The reversal of 120504001331 is 133100405021.

It is a cyclic number.

It is not a de Polignac number, because 120504001331 - 234 = 103324132147 is a prime.

It is a super-2 number, since 2×1205040013312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120504001301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9701681 + ... + 9714093.

It is an arithmetic number, because the mean of its divisors is an integer number (8623459584).

Almost surely, 2120504001331 is an apocalyptic number.

120504001331 is a deficient number, since it is larger than the sum of its proper divisors (17471352013).

120504001331 is a wasteful number, since it uses less digits than its factorization.

120504001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14890.

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 120504001331 its reverse (133100405021), we get a palindrome (253604406352).

The spelling of 120504001331 in words is "one hundred twenty billion, five hundred four million, one thousand, three hundred thirty-one".

Divisors: 1 7 863 1607 6041 11249 12413 86891 1386841 9707887 10712419 19947691 74986933 139633837 17214857333 120504001331