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10012203120204 = 22324336773324043
BaseRepresentation
bin1001000110110010010111…
…0011110111011001001100
31022110011020122112222201100
42101230211303313121030
52303014442444321304
633143313112143100
72052233504222235
oct221544563673114
938404218488640
1010012203120204
11321017370992a
121158522697a90
135781ba3ca5cc
14268843b0208c
15125691437439
hex91b25cf764c

10012203120204 has 144 divisors (see below), whose sum is σ = 26004270003712. Its totient is φ = 3246334713216.

The previous prime is 10012203120191. The next prime is 10012203120211. The reversal of 10012203120204 is 40202130221001.

It is a happy number.

It is a super-2 number, since 2×100122031202042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 416417007 + ... + 416441049.

Almost surely, 210012203120204 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 10012203120204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002135001856).

10012203120204 is an abundant number, since it is smaller than the sum of its proper divisors (15992066883508).

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

10012203120204 is a wasteful number, since it uses less digits than its factorization.

10012203120204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25196 (or 25191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10012203120204 its reverse (40202130221001), we get a palindrome (50214333341205).

The spelling of 10012203120204 in words is "ten trillion, twelve billion, two hundred three million, one hundred twenty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 367 387 516 733 734 774 1101 1466 1468 1548 2199 2202 2932 3303 4398 4404 6597 6606 8796 13194 13212 15781 24043 26388 31519 31562 47343 48086 63038 63124 72129 94557 94686 96172 126076 142029 144258 189114 189372 216387 269011 283671 284058 288516 378228 432774 538022 567342 568116 807033 865548 1033849 1076044 1134684 1614066 2067698 2421099 3101547 3228132 4135396 4842198 6203094 8823781 9304641 9684396 11567473 12406188 17623519 17647562 18609282 23134946 26471343 34702419 35247038 35295124 37218564 46269892 52870557 52942686 69404838 70494076 79414029 104107257 105741114 105885372 138809676 158611671 158828058 208214514 211482228 317223342 317656116 379422583 416429028 634446684 757811317 758845166 1138267749 1515622634 1517690332 2273433951 2276535498 3031245268 3414803247 4546867902 4553070996 6467831473 6820301853 6829606494 9093735804 12935662946 13640603706 13659212988 19403494419 25871325892 27281207412 38806988838 58210483257 77613977676 116420966514 232841933028 278116753339 556233506678 834350260017 1112467013356 1668700520034 2503050780051 3337401040068 5006101560102 10012203120204