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10010110000060 = 22519127281738151
BaseRepresentation
bin1001000110101010100100…
…0011001111101110111100
31022102221211202222110200001
42101222221003033232330
52303001201130000220
633142325301244044
72052130600051162
oct221525103175674
938387752873601
1010010110000060
11320a29a14a775
121158039703624
13577c4587b091
142686c5b27232
151255bc7cd80a
hex91aa90cfbbc

10010110000060 has 96 divisors (see below), whose sum is σ = 22381241057280. Its totient is φ = 3750038208000.

The previous prime is 10010109999997. The next prime is 10010110000061. The reversal of 10010110000060 is 6000001101001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010110000061) 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 31 ways as a sum of consecutive naturals, for example, 13191985 + ... + 13930135.

It is an arithmetic number, because the mean of its divisors is an integer number (233137927680).

Almost surely, 210010110000060 is an apocalyptic number.

10010110000060 is a gapful number since it is divisible by the number (10) 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 10010110000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190620528640).

10010110000060 is an abundant number, since it is smaller than the sum of its proper divisors (12371131057220).

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

10010110000060 is a wasteful number, since it uses less digits than its factorization.

10010110000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738587 (or 738585 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10010110000060 its reverse (6000001101001), we get a palindrome (16010111101061).

The spelling of 10010110000060 in words is "ten trillion, ten billion, one hundred ten million, sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 38 76 95 127 190 254 281 380 508 562 635 1124 1270 1405 2413 2540 2810 4826 5339 5620 9652 10678 12065 21356 24130 26695 35687 48260 53390 71374 106780 142748 178435 356870 678053 713740 738151 1356106 1476302 2712212 2952604 3390265 3690755 6780530 7381510 13561060 14024869 14763020 28049738 56099476 70124345 93745177 140248690 187490354 207420431 280497380 374980708 414840862 468725885 829681724 937451770 1037102155 1781158363 1874903540 2074204310 3562316726 3940988189 4148408620 7124633452 7881976378 8905791815 15763952756 17811583630 19704940945 26342394737 35623167260 39409881890 52684789474 78819763780 105369578948 131711973685 263423947370 500505500003 526847894740 1001011000006 2002022000012 2502527500015 5005055000030 10010110000060