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10210200000012 = 2234197449335603
BaseRepresentation
bin1001010010010011111101…
…0110000001011000001100
31100011002022101121121220000
42110210333112001120030
52314240442200000022
633414300124324300
72102443163020545
oct224447726013014
940132271547800
1010210200000012
1132871377a21a1
12118a97b3a3690
13590a8271c15c
14274267b554cc
1512a8cdace6ac
hex9493f58160c

10210200000012 has 120 divisors (see below), whose sum is σ = 26833693881456. Its totient is φ = 3385275126912.

The previous prime is 10210199999977. The next prime is 10210200000019. The reversal of 10210200000012 is 21000000201201.

It is a super-3 number, since 3×102102000000123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10210200000019) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 286761403 + ... + 286797005.

Almost surely, 210210200000012 is an apocalyptic number.

10210200000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210200000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416846940728).

10210200000012 is an abundant number, since it is smaller than the sum of its proper divisors (16623493881444).

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

10210200000012 is a wasteful number, since it uses less digits than its factorization.

10210200000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40309 (or 40298 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10210200000012 its reverse (21000000201201), we get a palindrome (31210200201213).

The spelling of 10210200000012 in words is "ten trillion, two hundred ten billion, two hundred million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 324 394 591 788 1182 1773 2364 3546 4493 5319 7092 8986 10638 13479 15957 17972 21276 26958 31914 35603 40437 53916 63828 71206 80874 106809 121311 142412 161748 213618 242622 320427 363933 427236 485244 640854 727866 885121 961281 1281708 1455732 1770242 1922562 2655363 2883843 3540484 3845124 5310726 5767686 7013791 7966089 10621452 11535372 14027582 15932178 21041373 23898267 28055164 31864356 42082746 47796534 63124119 71694801 84165492 95593068 126248238 143389602 159964279 189372357 252496476 286779204 319928558 378744714 479892837 568117071 639857116 757489428 959785674 1136234142 1439678511 1919571348 2272468284 2879357022 4319035533 5758714044 8638071066 12957106599 17276142132 25914213198 31512962963 51828426396 63025925926 94538888889 126051851852 189077777778 283616666667 378155555556 567233333334 850850000001 1134466666668 1701700000002 2552550000003 3403400000004 5105100000006 10210200000012