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120753121383 = 3325130375867
BaseRepresentation
bin111000001110101110…
…0100110100001100111
3102112200111022010211000
41300131130212201213
53434300244341013
6131250114244343
711503242411366
oct1603534464147
9375614263730
10120753121383
1147235a97394
121b49bb866b3
13b50523581b
145bb738b7dd
15321b16c973
hex1c1d726867

120753121383 has 32 divisors (see below), whose sum is σ = 179695998720. Its totient is φ = 80141292000.

The previous prime is 120753121381. The next prime is 120753121397. The reversal of 120753121383 is 383121357021.

It is a happy number.

120753121383 is a `hidden beast` number, since 1 + 20 + 7 + 531 + 21 + 3 + 83 = 666.

It is not a de Polignac number, because 120753121383 - 21 = 120753121381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120753121381) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20578816 + ... + 20584682.

It is an arithmetic number, because the mean of its divisors is an integer number (5615499960).

Almost surely, 2120753121383 is an apocalyptic number.

120753121383 is a deficient number, since it is larger than the sum of its proper divisors (58942877337).

120753121383 is a wasteful number, since it uses less digits than its factorization.

120753121383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 120753121383 in words is "one hundred twenty billion, seven hundred fifty-three million, one hundred twenty-one thousand, three hundred eighty-three".

Divisors: 1 3 9 27 251 753 2259 3037 5867 6777 9111 17601 27333 52803 81999 158409 762287 1472617 2286861 4417851 6860583 13253553 17818079 20581749 39760659 53454237 160362711 481088133 4472337829 13417013487 40251040461 120753121383