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1012011112002 = 231131261326029
BaseRepresentation
bin11101011101000001001…
…00000001011001000010
310120202011210110010122010
432232200210001121002
5113040044321041002
62052524514153350
7133054402343202
oct16564044013102
93522153403563
101012011112002
11360211987140
12144174582856
13745808210c7
1436da5718402
151b4d0e7e46c
hexeba0901642

1012011112002 has 96 divisors (see below), whose sum is σ = 2285358200640. Its totient is φ = 296281929600.

The previous prime is 1012011112001. The next prime is 1012011112043. The reversal of 1012011112002 is 2002111102101.

It is not an unprimeable number, because it can be changed into a prime (1012011112001) 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, 38867124 + ... + 38893152.

It is an arithmetic number, because the mean of its divisors is an integer number (23805814590).

Almost surely, 21012011112002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012011112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142679100320).

1012011112002 is an abundant number, since it is smaller than the sum of its proper divisors (1273347088638).

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

1012011112002 is a wasteful number, since it uses less digits than its factorization.

1012011112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26720 (or 26689 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012011112002 its reverse (2002111102101), we get a palindrome (3014122214103).

Subtracting 1012011112002 from its reverse (2002111102101), we obtain a palindrome (990099990099).

The spelling of 1012011112002 in words is "one trillion, twelve billion, eleven million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 613 682 961 1023 1226 1839 1922 2046 2883 3678 5766 6743 10571 13486 19003 20229 21142 26029 31713 38006 40458 52058 57009 63426 78087 114018 156174 209033 286319 418066 572638 589093 627099 806899 858957 1178186 1254198 1613798 1717914 1767279 2420697 3534558 4841394 6480023 8875889 12960046 15955777 17751778 19440069 25013869 26627667 31911554 38880138 47867331 50027738 53255334 75041607 95734662 150083214 175513547 275152559 351027094 494629087 526540641 550305118 825457677 989258174 1053081282 1483887261 1650915354 2967774522 5440919957 10881839914 15333501697 16322759871 30667003394 32645519742 46000505091 92001010182 168668518667 337337037334 506005556001 1012011112002