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1000013310 = 23353703753
BaseRepresentation
bin111011100110101…
…111110111111110
32120200200221101000
4323212233313332
54022000411220
6243121431130
733531654462
oct7346576776
92520627330
101000013310
1147353288a
1223aa9b4a6
1312c24326a
1496b524a2
155cbd5390
hex3b9afdfe

1000013310 has 32 divisors (see below), whose sum is σ = 2666702880. Its totient is φ = 266670144.

The previous prime is 1000013237. The next prime is 1000013323. The reversal of 1000013310 is 133100001.

It is a super-2 number, since 2×10000133102 = 2000053240354312200, which 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 = 1000013292 and 1000013301.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1851607 + ... + 1852146.

It is an arithmetic number, because the mean of its divisors is an integer number (83334465).

Almost surely, 21000013310 is an apocalyptic number.

1000013310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000013310 is an abundant number, since it is smaller than the sum of its proper divisors (1666689570).

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

1000013310 is a wasteful number, since it uses less digits than its factorization.

1000013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703769 (or 3703763 counting only the distinct ones).

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

The square root of 1000013310 is about 31622.9870505618. The cubic root of 1000013310 is about 1000.0044366470.

Adding to 1000013310 its reverse (133100001), we get a palindrome (1133113311).

The spelling of 1000013310 in words is "one billion, thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3703753 7407506 11111259 18518765 22222518 33333777 37037530 55556295 66667554 100001331 111112590 166668885 200002662 333337770 500006655 1000013310