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120304355153112 = 233213161979388693
BaseRepresentation
bin11011010110101010001010…
…010110101001010011011000
3120202221222120100200202121200
4123112222022112221103120
5111232031304404344422
61103511020252034200
734224463033252104
oct3326521226512330
9522858510622550
10120304355153112
11353728771794a9
12115ab959162960
135218862618850
14219ca94774904
15dd95d43402ac
hex6d6a8a5a94d8

120304355153112 has 96 divisors (see below), whose sum is σ = 351104438084400. Its totient is φ = 36993860252928.

The previous prime is 120304355153039. The next prime is 120304355153149. The reversal of 120304355153112 is 211351553403021.

It is a happy number.

120304355153112 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 0 + 43 + 551 + 53 + 1 + 12 = 666.

It is a super-2 number, since 2×1203043551531122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38178963 + ... + 41209730.

Almost surely, 2120304355153112 is an apocalyptic number.

120304355153112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120304355153112 is an abundant number, since it is smaller than the sum of its proper divisors (230800082931288).

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

120304355153112 is a wasteful number, since it uses less digits than its factorization.

120304355153112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79390337 (or 79390330 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 120304355153112 in words is "one hundred twenty trillion, three hundred four billion, three hundred fifty-five million, one hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1619 3238 4857 6476 9714 12952 14571 19428 21047 29142 38856 42094 58284 63141 84188 116568 126282 168376 189423 252564 378846 505128 757692 1515384 79388693 158777386 238166079 317554772 476332158 635109544 714498237 952664316 1032053009 1428996474 1905328632 2064106018 2857992948 3096159027 4128212036 5715985896 6192318054 8256424072 9288477081 12384636108 18576954162 24769272216 37153908324 74307816648 128530293967 257060587934 385590881901 514121175868 771181763802 1028242351736 1156772645703 1542363527604 1670893821571 2313545291406 3084727055208 3341787643142 4627090582812 5012681464713 6683575286284 9254181165624 10025362929426 13367150572568 15038044394139 20050725858852 30076088788278 40101451717704 60152177576556 120304355153112