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3331031113120 = 25543613789823
BaseRepresentation
bin110000011110010000111…
…011010001110110100000
3102210102222021201011212011
4300132100323101312200
5414033422431104440
611030130553042304
7462442025202124
oct60362073216640
912712867634764
103331031113120
111074756250607
124596ab6b6394
131b21655355b9
14b73193ad584
155b9ab3069ea
hex30790ed1da0

3331031113120 has 96 divisors (see below), whose sum is σ = 8065720599552. Its totient is φ = 1299301420032.

The previous prime is 3331031113093. The next prime is 3331031113147. The reversal of 3331031113120 is 213111301333.

It is an interprime number because it is at equal distance from previous prime (3331031113093) and next prime (3331031113147).

It is a super-2 number, since 2×33310311131202 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3331031113091 and 3331031113100.

It is an unprimeable number.

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, 3822529 + ... + 4612351.

It is an arithmetic number, because the mean of its divisors is an integer number (84017922912).

Almost surely, 23331031113120 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 3331031113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032860299776).

3331031113120 is an abundant number, since it is smaller than the sum of its proper divisors (4734689486432).

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

3331031113120 is a wasteful number, since it uses less digits than its factorization.

3331031113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790494 (or 790486 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 3331031113120 its reverse (213111301333), we get a palindrome (3544142414453).

The spelling of 3331031113120 in words is "three trillion, three hundred thirty-one billion, thirty-one million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 613 688 860 1226 1376 1720 2452 3065 3440 4904 6130 6880 9808 12260 19616 24520 26359 49040 52718 98080 105436 131795 210872 263590 421744 527180 789823 843488 1054360 1579646 2108720 3159292 3949115 4217440 6318584 7898230 12637168 15796460 25274336 31592920 33962389 63185840 67924778 126371680 135849556 169811945 271699112 339623890 484161499 543398224 679247780 968322998 1086796448 1358495560 1936645996 2420807495 2716991120 3873291992 4841614990 5433982240 7746583984 9683229980 15493167968 19366459960 20818944457 38732919920 41637888914 77465839840 83275777828 104094722285 166551555656 208189444570 333103111312 416378889140 666206222624 832757778280 1665515556560 3331031113120