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10233003312330 = 23537179211244087
BaseRepresentation
bin1001010011101000111010…
…0001110000010011001010
31100020021011121001220200220
42110322032201300103022
52320124142321443310
633432550554410510
72104211234666631
oct224721641602312
940207147056626
1010233003312330
113295879661257
121193284130a36
13592c77b13876
142753cc484518
1512b2b59db670
hex94e8e8704ca

10233003312330 has 128 divisors (see below), whose sum is σ = 25484193146880. Its totient is φ = 2627693187840.

The previous prime is 10233003312283. The next prime is 10233003312347. The reversal of 10233003312330 is 3321330033201.

It is a self number, because there is not a number n which added to its sum of digits gives 10233003312330.

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 63 ways as a sum of consecutive naturals, for example, 41801547 + ... + 42045633.

It is an arithmetic number, because the mean of its divisors is an integer number (199095258960).

Almost surely, 210233003312330 is an apocalyptic number.

10233003312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233003312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742096573440).

10233003312330 is an abundant number, since it is smaller than the sum of its proper divisors (15251189834550).

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

10233003312330 is a wasteful number, since it uses less digits than its factorization.

10233003312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244524.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 10233003312330 its reverse (3321330033201), we get a palindrome (13554333345531).

The spelling of 10233003312330 in words is "ten trillion, two hundred thirty-three billion, three million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 179 185 211 222 358 370 422 537 555 633 895 1055 1074 1110 1266 1790 2110 2685 3165 5370 6330 6623 7807 13246 15614 19869 23421 33115 37769 39035 39738 46842 66230 75538 78070 99345 113307 117105 188845 198690 226614 234210 244087 377690 488174 566535 732261 1133070 1220435 1397453 1464522 2440870 2794906 3661305 4192359 6987265 7322610 8384718 9031219 13974530 18062438 20961795 27093657 41923590 43691573 45156095 51502357 54187314 87383146 90312190 103004714 131074719 135468285 154507071 218457865 257511785 262149438 270936570 309014142 436915730 515023570 655373595 772535355 1310747190 1545070710 1616588201 1905587209 3233176402 3811174418 4849764603 5716761627 8082941005 9218921903 9527936045 9699529206 11433523254 16165882010 18437843806 19055872090 24248823015 27656765709 28583808135 46094609515 48497646030 55313531418 57167616270 92189219030 138283828545 276567657090 341100110411 682200220822 1023300331233 1705500552055 2046600662466 3411001104110 5116501656165 10233003312330