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120679117321 = 72496272
BaseRepresentation
bin111000001100100001…
…0010011001000001001
3102112111100001100022211
41300121002103020021
53434122323223241
6131234512145121
711501353400200
oct1603102231011
9375440040284
10120679117321
11471a8241004
121b47b2381a1
13b4c2ac4639
145bab606237
153214900781
hex1c19093209

120679117321 has 9 divisors (see below), whose sum is σ = 140384659149. Its totient is φ = 103437159084.

The previous prime is 120679117241. The next prime is 120679117337. The reversal of 120679117321 is 123711976021.

It is a happy number.

The square root of 120679117321 is 347389.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 120679117321 - 221 = 120677020169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120679117021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2406910 + ... + 2456536.

It is an arithmetic number, because the mean of its divisors is an integer number (15598295461).

Almost surely, 2120679117321 is an apocalyptic number.

120679117321 is the 347389-th square number.

120679117321 is the 173695-th centered octagonal number.

It is an amenable number.

120679117321 is a deficient number, since it is larger than the sum of its proper divisors (19705541828).

120679117321 is an frugal number, since it uses more digits than its factorization.

120679117321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99268 (or 49634 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 40.

The spelling of 120679117321 in words is "one hundred twenty billion, six hundred seventy-nine million, one hundred seventeen thousand, three hundred twenty-one".

Divisors: 1 7 49 49627 347389 2431723 2462839129 17239873903 120679117321