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10010003310 = 2325373738059
BaseRepresentation
bin10010101001010010…
…01000011101101110
3221211121120212002100
421110221020131232
5131000030101220
64333141035530
7503025424056
oct112451103556
927747525070
1010010003310
11427742770a
121b343b5ba6
13c36ab06a8
146ad608566
153d8bd6d90
hex254a4876e

10010003310 has 96 divisors (see below), whose sum is σ = 26804400480. Its totient is φ = 2589905664.

The previous prime is 10010003281. The next prime is 10010003321. The reversal of 10010003310 is 1330001001.

It is a super-2 number, since 2×100100033102 (a number of 21 digits) contains 22 as substring.

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 = 10010003292 and 10010003301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238061 + ... + 1246119.

It is an arithmetic number, because the mean of its divisors is an integer number (279212505).

Almost surely, 210010003310 is an apocalyptic number.

10010003310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010003310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402200240).

10010003310 is an abundant number, since it is smaller than the sum of its proper divisors (16794397170).

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

10010003310 is a wasteful number, since it uses less digits than its factorization.

10010003310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8482 (or 8479 counting only the distinct ones).

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

Adding to 10010003310 its reverse (1330001001), we get a palindrome (11340004311).

The spelling of 10010003310 in words is "ten billion, ten million, three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 373 555 666 746 1110 1119 1665 1865 2238 3330 3357 3730 5595 6714 8059 11190 13801 16118 16785 24177 27602 33570 40295 41403 48354 69005 72531 80590 82806 120885 124209 138010 145062 207015 241770 248418 298183 362655 414030 596366 621045 725310 894549 1242090 1490915 1789098 2683647 2981830 3006007 4472745 5367294 6012014 8945490 9018021 13418235 15030035 18036042 26836470 27054063 30060070 45090105 54108126 90180210 111222259 135270315 222444518 270540630 333666777 556111295 667333554 1001000331 1112222590 1668333885 2002000662 3336667770 5005001655 10010003310