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10010110244211 = 3271171993200639
BaseRepresentation
bin1001000110101010100100…
…0100001011010101110011
31022102221211210102212120200
42101222221010023111303
52303001201210303321
633142325310410243
72052130602116040
oct221525104132563
938387753385520
1010010110244211
11320a29a2a7150
121158039800983
13577c4593524c
142686c5b8c1c7
151255bc82ad26
hex91aa910b573

10010110244211 has 48 divisors (see below), whose sum is σ = 18027205447680. Its totient is φ = 5199959122560.

The previous prime is 10010110244177. The next prime is 10010110244231. The reversal of 10010110244211 is 11244201101001.

10010110244211 is a `hidden beast` number, since 10 + 0 + 101 + 102 + 442 + 11 = 666.

It is not a de Polignac number, because 10010110244211 - 29 = 10010110243699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010110244231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49790830 + ... + 49991468.

It is an arithmetic number, because the mean of its divisors is an integer number (375566780160).

Almost surely, 210010110244211 is an apocalyptic number.

10010110244211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010110244211 is a deficient number, since it is larger than the sum of its proper divisors (8017095203469).

10010110244211 is a wasteful number, since it uses less digits than its factorization.

10010110244211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272656 (or 272653 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10010110244211 its reverse (11244201101001), we get a palindrome (21254311345212).

The spelling of 10010110244211 in words is "ten trillion, ten billion, one hundred ten million, two hundred forty-four thousand, two hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 71993 200639 215979 503951 601917 647937 791923 1404473 1511853 1805751 2207029 2375769 4213419 4535559 5543461 6621087 7127307 12640257 15449203 16630383 19863261 46347609 49891149 139042827 14444603527 43333810581 101112224689 130001431743 158890638797 303336674067 476671916391 910010022201 1112234471579 1430015749173 3336703414737 10010110244211