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10010211111201 = 3719831013119623
BaseRepresentation
bin1001000110101010111100…
…0100111101000100100001
31022102222002211020110002010
42101222233010331010201
52303001403021024301
633142343312343133
72052133235351640
oct221525704750441
938388084213063
1010010211111201
11320a34122aaa4
121158067544aa9
13577c607c0562
142686d5327357
151255c66025d6
hex91aaf13d121

10010211111201 has 128 divisors (see below), whose sum is σ = 16465299701760. Its totient is φ = 5283170784000.

The previous prime is 10010211111193. The next prime is 10010211111211. The reversal of 10010211111201 is 10211111201001.

It is not a de Polignac number, because 10010211111201 - 23 = 10010211111193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010211111211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1040233276 + ... + 1040242898.

It is an arithmetic number, because the mean of its divisors is an integer number (128635153920).

Almost surely, 210010211111201 is an apocalyptic number.

It is an amenable number.

10010211111201 is a deficient number, since it is larger than the sum of its proper divisors (6455088590559).

10010211111201 is a wasteful number, since it uses less digits than its factorization.

10010211111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10147.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10010211111201 its reverse (10211111201001), we get a palindrome (20221322312202).

The spelling of 10010211111201 in words is "ten trillion, ten billion, two hundred eleven million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 7 19 21 57 83 101 133 249 303 311 399 581 707 933 1577 1743 1919 2121 2177 4731 5757 5909 6531 8383 9623 11039 13433 17727 25149 25813 28869 31411 33117 40299 41363 58681 67361 77439 94233 124089 159277 176043 180691 182837 202083 219877 477831 490447 542073 548511 596809 659631 798709 971923 1114939 1279859 1471341 1790427 2396127 2607113 2915769 2992753 3344817 3433129 3839577 4177663 5590963 6803461 7821339 8978259 10299387 12532989 15175471 16772889 18249791 18466537 20410383 20949271 45526413 49535147 54749373 55399611 56862307 62847813 80669609 106228297 129265759 148605441 170586921 242008827 248398499 302268053 318684891 346746029 387797277 398036149 564687263 745195497 906804159 1040238087 1194108447 1532722571 1694061789 1738789493 2115876371 4598167713 4719571481 5216368479 5743093007 6347629113 10729057997 14158714443 17229279021 25088248399 32187173991 33037000367 40201651049 75264745197 99111001101 120604953147 175617738793 476676719581 526853216379 1430030158743 3336737037067 10010211111201