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120918210404 = 224153101137737
BaseRepresentation
bin111000010011101001…
…0010111011101100100
3102120002222221112101012
41300213102113131210
53440120030213104
6131314332521352
711510315554445
oct1604722273544
9376088845335
10120918210404
11473101a51a2
121b527320258
13b5304b8734
145bd12832cc
15322a8ccd6e
hex1c27497764

120918210404 has 48 divisors (see below), whose sum is σ = 223046305776. Its totient is φ = 57298176000.

The previous prime is 120918210401. The next prime is 120918210409. The reversal of 120918210404 is 404012819021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9012004 + 120909198400 = 3002^2 + 347720^2 .

It is not an unprimeable number, because it can be changed into a prime (120918210401) 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 15 ways as a sum of consecutive naturals, for example, 809024 + ... + 946760.

It is an arithmetic number, because the mean of its divisors is an integer number (4646798037).

Almost surely, 2120918210404 is an apocalyptic number.

It is an amenable number.

120918210404 is a deficient number, since it is larger than the sum of its proper divisors (102128095372).

120918210404 is a wasteful number, since it uses less digits than its factorization.

120918210404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137936 (or 137934 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 120918210404 in words is "one hundred twenty billion, nine hundred eighteen million, two hundred ten thousand, four hundred four".

Divisors: 1 2 4 41 53 82 101 106 164 202 212 404 2173 4141 4346 5353 8282 8692 10706 16564 21412 137737 219473 275474 438946 550948 877892 5647217 7300061 11294434 13911437 14600122 22588868 27822874 29200244 55645748 299302501 570368917 598605002 737306161 1140737834 1197210004 1474612322 2281475668 2949224644 30229552601 60459105202 120918210404