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200032112242312 = 23759611475967247
BaseRepresentation
bin101101011110110110011010…
…111111100110111010001000
3222020020212211211110222200021
4231132312122333212322020
5202204311231213223222
61545233252254150224
760063562134006310
oct5536663277467210
9866225754428607
10200032112242312
1158811162597289
121a5276917b2374
13877cc4113a1ac
14375786a7c4440
15181d46334cac7
hexb5ed9afe6e88

200032112242312 has 128 divisors (see below), whose sum is σ = 443087926272000. Its totient is φ = 82886623407360.

The previous prime is 200032112242309. The next prime is 200032112242327. The reversal of 200032112242312 is 213242211230002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2974554273 + ... + 2974621519.

It is an arithmetic number, because the mean of its divisors is an integer number (3461624424000).

Almost surely, 2200032112242312 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 200032112242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221543963136000).

200032112242312 is an abundant number, since it is smaller than the sum of its proper divisors (243055814029688).

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

200032112242312 is a wasteful number, since it uses less digits than its factorization.

200032112242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82139 (or 82135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 200032112242312 its reverse (213242211230002), we get a palindrome (413274323472314).

The spelling of 200032112242312 in words is "two hundred trillion, thirty-two billion, one hundred twelve million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 59 61 118 122 236 244 413 427 472 488 826 854 1652 1708 3304 3416 3599 7198 14396 14759 25193 28792 29518 50386 59036 67247 100772 103313 118072 134494 201544 206626 268988 413252 470729 537976 826504 870781 900299 941458 1741562 1800598 1882916 3483124 3601196 3765832 3967573 4102067 6095467 6302093 6966248 7202392 7935146 8204134 12190934 12604186 15870292 16408268 24381868 25208372 27773011 28714469 31740584 32816536 48763736 50416744 53117641 55546022 57428938 106235282 111092044 114857876 212470564 222184088 229715752 242021953 371823487 424941128 484043906 743646974 968087812 992498473 1487293948 1694153671 1936175624 1984996946 2974587896 3388307342 3969993892 6776614684 6947489311 7939987784 13553229368 13894978622 27789957244 55579914488 58557409907 60542406853 117114819814 121084813706 234229639628 242169627412 409901869349 423796847971 468459279256 484339254824 819803738698 847593695942 1639607477396 1695187391884 3279214954792 3390374783768 3572002004327 7144004008654 14288008017308 25004014030289 28576016034616 50008028060578 100016056121156 200032112242312