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2010010000020 = 22351117231767539
BaseRepresentation
bin11101001111111101111…
…011101001101010010100
321010011012001102112112120
4131033331323221222110
5230413000030000040
64135215202015540
7265134631046421
oct35177573515224
97104161375476
102010010000020
11705493275a80
122856783475b0
1311770a3433c9
146d3dc096d48
1537441bb37d0
hex1d3fdee9a94

2010010000020 has 96 divisors (see below), whose sum is σ = 6143233743360. Its totient is φ = 486992069760.

The previous prime is 2010010000007. The next prime is 2010010000021. The reversal of 2010010000020 is 200000100102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2010009999963 and 2010010000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010010000021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253411 + ... + 2020949.

It is an arithmetic number, because the mean of its divisors is an integer number (63992018160).

Almost surely, 22010010000020 is an apocalyptic number.

2010010000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010010000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071616871680).

2010010000020 is an abundant number, since it is smaller than the sum of its proper divisors (4133223743340).

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

2010010000020 is a wasteful number, since it uses less digits than its factorization.

2010010000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769285 (or 1769283 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2010010000020 its reverse (200000100102), we get a palindrome (2210010100122).

The spelling of 2010010000020 in words is "two trillion, ten billion, ten million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1723 3446 5169 6892 8615 10338 17230 18953 20676 25845 34460 37906 51690 56859 75812 94765 103380 113718 189530 227436 284295 379060 568590 1137180 1767539 3535078 5302617 7070156 8837695 10605234 17675390 19442929 21210468 26513085 35350780 38885858 53026170 58328787 77771716 97214645 106052340 116657574 194429290 233315148 291643935 388858580 583287870 1166575740 3045469697 6090939394 9136409091 12181878788 15227348485 18272818182 30454696970 33500166667 36545636364 45682045455 60909393940 67000333334 91364090910 100500500001 134000666668 167500833335 182728181820 201001000002 335001666670 402002000004 502502500005 670003333340 1005005000010 2010010000020