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10020111210024 = 2331763173952667
BaseRepresentation
bin1001000111001111110100…
…1010110101011000101000
31022110220122210000120112220
42101303331022311120220
52303132141432210044
633151101530034040
72052633460662546
oct221637512653050
938426583016486
1010020111210024
113213561610853
121159b6ab78920
13578b7a8a01b6
14268d940c2d96
151259a582a019
hex91cfd2b5628

10020111210024 has 128 divisors (see below), whose sum is σ = 26602311859200. Its totient is φ = 3134275845120.

The previous prime is 10020111209993. The next prime is 10020111210077. The reversal of 10020111210024 is 42001211102001.

10020111210024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100201112100242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10020111209985 and 10020111210012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190227739 + ... + 190280405.

It is an arithmetic number, because the mean of its divisors is an integer number (207830561400).

Almost surely, 210020111210024 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 10020111210024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13301155929600).

10020111210024 is an abundant number, since it is smaller than the sum of its proper divisors (16582200649176).

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

10020111210024 is a wasteful number, since it uses less digits than its factorization.

10020111210024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54063 (or 54059 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10020111210024 its reverse (42001211102001), we get a palindrome (52021322312025).

The spelling of 10020111210024 in words is "ten trillion, twenty billion, one hundred eleven million, two hundred ten thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 631 739 1262 1478 1893 2217 2524 2956 3786 4434 5048 5912 7572 8868 10727 12563 15144 17736 21454 25126 32181 37689 42908 50252 52667 64362 75378 85816 100504 105334 128724 150756 158001 210668 257448 301512 316002 421336 466309 632004 895339 932618 1264008 1398927 1790678 1865236 2686017 2797854 3581356 3730472 5372034 5595708 7162712 7927253 10744068 11191416 15854506 21488136 23781759 31709012 33232877 38920913 47563518 63418024 66465754 77841826 95127036 99698631 116762739 132931508 155683652 190254072 199397262 233525478 265863016 311367304 398794524 467050956 564958909 661655521 797589048 934101912 1129917818 1323311042 1694876727 1984966563 2259835636 2646622084 3389753454 3969933126 4519671272 5293244168 6779506908 7939866252 13559013816 15879732504 24559096103 49118192206 73677288309 98236384412 147354576618 196472768824 294709153236 417504633751 589418306472 835009267502 1252513901253 1670018535004 2505027802506 3340037070008 5010055605012 10020111210024