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3333122041304 = 23114110367313327
BaseRepresentation
bin110000100000001101100…
…011100010010111011000
3102210122101000011100002202
4300200031203202113120
5414102213220310204
611031114244545332
7462544604613506
oct60401543422730
912718330140082
103333122041304
111075629552930
12459b939b2248
131b2409798203
14b7476d77676
155ba7eb7ae1e
hex3080d8e25d8

3333122041304 has 128 divisors (see below), whose sum is σ = 7062850529280. Its totient is φ = 1461467750400.

The previous prime is 3333122041297. The next prime is 3333122041351. The reversal of 3333122041304 is 4031402213333.

It is a super-2 number, since 2×33331220413042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250096289 + ... + 250109615.

It is an arithmetic number, because the mean of its divisors is an integer number (55178519760).

Almost surely, 23333122041304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3333122041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531425264640).

3333122041304 is an abundant number, since it is smaller than the sum of its proper divisors (3729728487976).

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

3333122041304 is a wasteful number, since it uses less digits than its factorization.

3333122041304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14161 (or 14157 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 3333122041304 its reverse (4031402213333), we get a palindrome (7364524254637).

The spelling of 3333122041304 in words is "three trillion, three hundred thirty-three billion, one hundred twenty-two million, forty-one thousand, three hundred four".

Divisors: 1 2 4 8 11 22 41 44 82 88 103 164 206 328 412 451 673 824 902 1133 1346 1804 2266 2692 3608 4223 4532 5384 7403 8446 9064 13327 14806 16892 26654 27593 29612 33784 46453 53308 55186 59224 69319 92906 106616 110372 138638 146597 185812 220744 277276 293194 303523 371624 546407 554552 586388 607046 762509 1092814 1172776 1214092 1372681 1525018 2185628 2428184 2745362 2842079 3050036 4371256 5490724 5684158 6010477 6100072 8969071 10981448 11368316 12020954 15099491 17938142 22736632 24041908 30198982 31262869 35876284 48083816 56279921 60397964 62525738 71752568 98659781 112559842 120795928 125051476 197319562 225119684 250102952 367731911 394639124 450239368 619079131 735463822 789278248 923814313 1238158262 1470927644 1847628626 2476316524 2941855288 3695257252 4045051021 4952633048 7390514504 8090102042 10161957443 16180204084 20323914886 32360408168 37876386833 40647829772 75752773666 81295659544 151505547332 303011094664 416640255163 833280510326 1666561020652 3333122041304