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2010001202202 = 237319101508951
BaseRepresentation
bin11101001111111101011…
…010000101110000011010
321010011011102212120012110
4131033331122011300122
5230412440301432302
64135214245253150
7265134463215000
oct35177532056032
97104142776173
102010001202202
11705489307054
122856754041b6
13117708582ab6
146d3dac46a70
1537441026b6c
hex1d3fd685c1a

2010001202202 has 128 divisors (see below), whose sum is σ = 4983657984000. Its totient is φ = 538672680000.

The previous prime is 2010001202201. The next prime is 2010001202203. The reversal of 2010001202202 is 2022021000102.

It is an interprime number because it is at equal distance from previous prime (2010001202201) and next prime (2010001202203).

It is not an unprimeable number, because it can be changed into a prime (2010001202201) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3694827 + ... + 4203777.

It is an arithmetic number, because the mean of its divisors is an integer number (38934828000).

Almost surely, 22010001202202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010001202202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491828992000).

2010001202202 is an abundant number, since it is smaller than the sum of its proper divisors (2973656781798).

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

2010001202202 is a wasteful number, since it uses less digits than its factorization.

2010001202202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509097 (or 509083 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2010001202202 its reverse (2022021000102), we get a palindrome (4032022202304).

The spelling of 2010001202202 in words is "two trillion, ten billion, one million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 101 114 133 147 202 266 294 303 343 399 606 686 707 798 931 1029 1414 1862 1919 2058 2121 2793 3838 4242 4949 5586 5757 6517 9898 11514 13034 13433 14847 19551 26866 29694 34643 39102 40299 69286 80598 94031 103929 188062 207858 282093 508951 564186 658217 1017902 1316434 1526853 1974651 3053706 3562657 3949302 7125314 9670069 10687971 19340138 21375942 24938599 29010207 49877198 51404051 58020414 67690483 74815797 102808102 135380966 149631594 154212153 174570193 203071449 308424306 349140386 359828357 406142898 473833381 523710579 719656714 947666762 976676969 1047421158 1079485071 1421500143 1953353938 2158970142 2518798499 2843000286 2930030907 3316833667 5037596998 5860061814 6633667334 6836738783 7556395497 9950501001 13673477566 15112790994 17631589493 19901002002 20510216349 35263178986 41020432698 47857171481 52894768479 95714342962 105789536958 143571514443 287143028886 335000200367 670000400734 1005000601101 2010001202202