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120232020321 = 32773172315173
BaseRepresentation
bin110111111111001100…
…0110000100101100001
3102111100011202110112200
41233332120300211201
53432213344122241
6131122301243413
711454314211330
oct1577630604541
9374304673480
10120232020321
1146a98928456
121b375563569
13b4512a30ba
145b680a1d17
1531da5374b6
hex1bfe630961

120232020321 has 48 divisors (see below), whose sum is σ = 201327175296. Its totient is φ = 67719068928.

The previous prime is 120232020317. The next prime is 120232020323. The reversal of 120232020321 is 123020232021.

120232020321 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 320 + 20 + 321 = 666.

It is not a de Polignac number, because 120232020321 - 22 = 120232020317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120232020294 and 120232020303.

It is not an unprimeable number, because it can be changed into a prime (120232020323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7916491 + ... + 7931663.

It is an arithmetic number, because the mean of its divisors is an integer number (4194316152).

Almost surely, 2120232020321 is an apocalyptic number.

It is an amenable number.

120232020321 is a deficient number, since it is larger than the sum of its proper divisors (81095154975).

120232020321 is a wasteful number, since it uses less digits than its factorization.

120232020321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16982 (or 16979 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120232020321 its reverse (123020232021), we get a palindrome (243252252342).

The spelling of 120232020321 in words is "one hundred twenty billion, two hundred thirty-two million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 73 219 511 657 1533 1723 4599 5169 12061 15173 15507 36183 45519 106211 108549 125779 136557 318633 377337 880453 955899 1107629 1132011 2641359 3322887 7753403 7924077 9968661 23260209 26143079 69780627 78429237 183001553 235287711 549004659 1647013977 1908444767 5725334301 13359113369 17176002903 40077340107 120232020321