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120221345504 = 25132511151369
BaseRepresentation
bin110111111110111000…
…0000010011011100000
3102111022102200010110002
41233331300002123200
53432203131024004
6131121240355132
711454124401401
oct1577560023340
9374272603402
10120221345504
1146a928a7297
121b371a75aa8
13b44c006340
145b668c39a8
1531d962961e
hex1bfdc026e0

120221345504 has 48 divisors (see below), whose sum is σ = 255908101680. Its totient is φ = 55265664000.

The previous prime is 120221345443. The next prime is 120221345513. The reversal of 120221345504 is 405543122021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471269 + ... + 680100.

It is an arithmetic number, because the mean of its divisors is an integer number (5331418785).

Almost surely, 2120221345504 is an apocalyptic number.

It is an amenable number.

120221345504 is an abundant number, since it is smaller than the sum of its proper divisors (135686756176).

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

120221345504 is a wasteful number, since it uses less digits than its factorization.

120221345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151643 (or 1151635 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 120221345504 its reverse (405543122021), we get a palindrome (525764467525).

The spelling of 120221345504 in words is "one hundred twenty billion, two hundred twenty-one million, three hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 251 416 502 1004 2008 3263 4016 6526 8032 13052 26104 52208 104416 1151369 2302738 4605476 9210952 14967797 18421904 29935594 36843808 59871188 119742376 239484752 288993619 478969504 577987238 1155974476 2311948952 3756917047 4623897904 7513834094 9247795808 15027668188 30055336376 60110672752 120221345504