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1300113030 = 235313737783
BaseRepresentation
bin100110101111110…
…0010011010000110
310100121101120210110
41031133202122012
510130312104110
6333001533450
744134530666
oct11537423206
93317346713
101300113030
11607975187
123034a4286
13179477568
14c49501a6
1579213a20
hex4d7e2686

1300113030 has 64 divisors (see below), whose sum is σ = 3308064768. Its totient is φ = 326436480.

The previous prime is 1300112963. The next prime is 1300113043. The reversal of 1300113030 is 303110031.

It is a junction number, because it is equal to n+sod(n) for n = 1300112997 and 1300113015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15519 + ... + 53301.

It is an arithmetic number, because the mean of its divisors is an integer number (51688512).

Almost surely, 21300113030 is an apocalyptic number.

1300113030 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 1300113030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654032384).

1300113030 is an abundant number, since it is smaller than the sum of its proper divisors (2007951738).

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

1300113030 is a wasteful number, since it uses less digits than its factorization.

1300113030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37861.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1300113030 is about 36057.0801646500. The cubic root of 1300113030 is about 1091.4245129489.

Adding to 1300113030 its reverse (303110031), we get a palindrome (1603223061).

Subtracting from 1300113030 its reverse (303110031), we obtain a cube (997002999 = 9993).

The spelling of 1300113030 in words is "one billion, three hundred million, one hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 555 930 1110 1147 2294 3441 5735 6882 11470 17205 34410 37783 75566 113349 188915 226698 377830 566745 1133490 1171273 1397971 2342546 2795942 3513819 4193913 5856365 6989855 7027638 8387826 11712730 13979710 17569095 20969565 35138190 41939130 43337101 86674202 130011303 216685505 260022606 433371010 650056515 1300113030