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20012012010 = 23351917322549
BaseRepresentation
bin10010101000110011…
…110001000111101010
31220122200010112122000
4102220303301013222
5311441033341020
613105434511430
71305626203224
oct225063610752
956580115560
1020012012010
11853a293901
123a65b95576
131b6c022233
14d7bb31414
157c1d40090
hex4a8cf11ea

20012012010 has 128 divisors (see below), whose sum is σ = 56501280000. Its totient is φ = 5026219776.

The previous prime is 20012011997. The next prime is 20012012011. The reversal of 20012012010 is 1021021002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20012011983 and 20012012001.

It is not an unprimeable number, because it can be changed into a prime (20012012011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 876216 + ... + 898764.

It is an arithmetic number, because the mean of its divisors is an integer number (441416250).

Almost surely, 220012012010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28250640000).

20012012010 is an abundant number, since it is smaller than the sum of its proper divisors (36489267990).

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

20012012010 is a wasteful number, since it uses less digits than its factorization.

20012012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22757 (or 22751 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20012012010 its reverse (1021021002), we get a palindrome (21033033012).

The spelling of 20012012010 in words is "twenty billion, twelve million, twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 173 190 270 285 342 346 513 519 570 855 865 1026 1038 1557 1710 1730 2565 2595 3114 3287 4671 5130 5190 6574 7785 9342 9861 15570 16435 19722 22549 23355 29583 32870 45098 46710 49305 59166 67647 88749 98610 112745 135294 147915 177498 202941 225490 295830 338235 405882 428431 443745 608823 676470 856862 887490 1014705 1217646 1285293 2029410 2142155 2570586 3044115 3855879 3900977 4284310 6088230 6426465 7711758 7801954 11567637 11702931 12852930 19279395 19504885 23135274 23405862 35108793 38558790 39009770 57838185 58514655 70217586 74118563 105326379 115676370 117029310 148237126 175543965 210652758 222355689 351087930 370592815 444711378 526631895 667067067 741185630 1053263790 1111778445 1334134134 2001201201 2223556890 3335335335 4002402402 6670670670 10006006005 20012012010