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121333303333092 = 223139401443409483
BaseRepresentation
bin11011100101101000011100…
…011100011101000011100100
3120220121100110112020002122210
4123211220130130131003210
5111400411101123124332
61110015430002323420
734362020236421244
oct3345503434350344
9526540415202583
10121333303333092
113572a18a640484
1211737259959570
1352918b2097666
1421d67c5669b24
15e062571b4ecc
hex6e5a1c71d0e4

121333303333092 has 96 divisors (see below), whose sum is σ = 286504882352640. Its totient is φ = 39962822515200.

The previous prime is 121333303333091. The next prime is 121333303333093. The reversal of 121333303333092 is 290333303333121.

121333303333092 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121333303333091) and next prime (121333303333093).

It is a super-2 number, since 2×1213333033330922 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121333303333092.

It is not an unprimeable number, because it can be changed into a prime (121333303333091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 296103783 + ... + 296513265.

It is an arithmetic number, because the mean of its divisors is an integer number (2984425857840).

Almost surely, 2121333303333092 is an apocalyptic number.

121333303333092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121333303333092 is an abundant number, since it is smaller than the sum of its proper divisors (165171579019548).

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

121333303333092 is a wasteful number, since it uses less digits than its factorization.

121333303333092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410473 (or 410471 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 39.

The spelling of 121333303333092 in words is "one hundred twenty-one trillion, three hundred thirty-three billion, three hundred three million, three hundred thirty-three thousand, ninety-two".

Divisors: 1 2 3 4 6 12 139 278 401 417 443 556 802 834 886 1203 1329 1604 1668 1772 2406 2658 4812 5316 55739 61577 111478 123154 167217 177643 184731 222956 246308 334434 355286 369462 409483 532929 668868 710572 738924 818966 1065858 1228449 1637932 2131716 2456898 4913796 24692377 49384754 56918137 74077131 98769508 113836274 148154262 164202683 170754411 181400969 227672548 296308524 328405366 341508822 362801938 492608049 544202907 656810732 683017644 725603876 985216098 1088405814 1970432196 2176811628 22824172937 25214734691 45648345874 50429469382 68472518811 72741788569 75644204073 91296691748 100858938764 136945037622 145483577138 151288408146 218225365707 273890075244 290967154276 302576816292 436450731414 872901462828 10111108611091 20222217222182 30333325833273 40444434444364 60666651666546 121333303333092