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1300001130 = 23357096791
BaseRepresentation
bin100110101111100…
…0111000101101010
310100121011220022000
41031133013011222
510130300014010
6332555311430
744133553521
oct11537070552
93317156260
101300001130
116078a90aa
1230344b576
1317943864c
14c49214b8
15791e07c0
hex4d7c716a

1300001130 has 64 divisors (see below), whose sum is σ = 3472070400. Its totient is φ = 346127040.

The previous prime is 1300001113. The next prime is 1300001141. The reversal of 1300001130 is 311000031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188035 + ... + 194825.

It is an arithmetic number, because the mean of its divisors is an integer number (54251100).

Almost surely, 21300001130 is an apocalyptic number.

1300001130 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 1300001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736035200).

1300001130 is an abundant number, since it is smaller than the sum of its proper divisors (2172069270).

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

1300001130 is a wasteful number, since it uses less digits than its factorization.

1300001130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7510 counting only the distinct ones).

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

The square root of 1300001130 is about 36055.5284249170. The cubic root of 1300001130 is about 1091.3931992851.

Adding to 1300001130 its reverse (311000031), we get a palindrome (1611001161).

The spelling of 1300001130 in words is "one billion, three hundred million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 709 1418 2127 3545 4254 6381 6791 7090 10635 12762 13582 19143 20373 21270 31905 33955 38286 40746 61119 63810 67910 95715 101865 122238 183357 191430 203730 305595 366714 611190 916785 1833570 4814819 9629638 14444457 24074095 28888914 43333371 48148190 72222285 86666742 130000113 144444570 216666855 260000226 433333710 650000565 1300001130