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10010011060 = 2257217600841
BaseRepresentation
bin10010101001010010…
…01010010110110100
3221211121121020201101
421110221022112310
5131000030323220
64333141135444
7503025455500
oct112451122664
927747536641
1010010011060
114277432515
121b343ba584
13c36ab408a
146ad60b300
153d8bd930a
hex254a4a5b4

10010011060 has 72 divisors (see below), whose sum is σ = 25891483464. Its totient is φ = 3230115840.

The previous prime is 10010011007. The next prime is 10010011061. The reversal of 10010011060 is 6011001001.

It can be written as a sum of positive squares in 4 ways, for example, as 4738670244 + 5271340816 = 68838^2 + 72604^2 .

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 (10010011061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283761 + ... + 317080.

It is an arithmetic number, because the mean of its divisors is an integer number (359603937).

Almost surely, 210010011060 is an apocalyptic number.

10010011060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010011060 is an abundant number, since it is smaller than the sum of its proper divisors (15881472404).

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

10010011060 is a wasteful number, since it uses less digits than its factorization.

10010011060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600881 (or 600872 counting only the distinct ones).

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

Adding to 10010011060 its reverse (6011001001), we get a palindrome (16021012061).

The spelling of 10010011060 in words is "ten billion, ten million, eleven thousand, sixty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 600841 1201682 2403364 3004205 4205887 6008410 8411774 10214297 12016820 16823548 20428594 21029435 29441209 40857188 42058870 51071485 58882418 71500079 84117740 102142970 117764836 143000158 147206045 204285940 286000316 294412090 357500395 500500553 588824180 715000790 1001001106 1430001580 2002002212 2502502765 5005005530 10010011060