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1300064830600 = 2352171193320513
BaseRepresentation
bin10010111010110001111…
…001110000010010001000
311121021200202100012002111
4102322301321300102020
5132300013044034400
62433124101112104
7162632550505024
oct22726171602210
94537622305074
101300064830600
114613997823a8
1218bb650b8634
1395798676043
1446cd0023384
1523c3e97e3ba
hex12eb1e70488

1300064830600 has 96 divisors (see below), whose sum is σ = 3203146402920. Its totient is φ = 489024389120.

The previous prime is 1300064830591. The next prime is 1300064830601. The reversal of 1300064830600 is 60384600031.

It can be written as a sum of positive squares in 12 ways, for example, as 90104430276 + 1209960400324 = 300174^2 + 1099982^2 .

It is not an unprimeable number, because it can be changed into a prime (1300064830601) 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, 3895944 + ... + 4216456.

Almost surely, 21300064830600 is an apocalyptic number.

1300064830600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300064830600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601573201460).

1300064830600 is an abundant number, since it is smaller than the sum of its proper divisors (1903081572320).

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

1300064830600 is a wasteful number, since it uses less digits than its factorization.

1300064830600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321739 (or 321730 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 1300064830600 in words is "one trillion, three hundred billion, sixty-four million, eight hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1193 1700 2386 3400 4772 5965 9544 11930 20281 23860 29825 40562 47720 59650 81124 101405 119300 162248 202810 238600 320513 405620 507025 641026 811240 1014050 1282052 1602565 2028100 2564104 3205130 4056200 5448721 6410260 8012825 10897442 12820520 16025650 21794884 27243605 32051300 43589768 54487210 64102600 108974420 136218025 217948840 272436050 382372009 544872100 764744018 1089744200 1529488036 1911860045 3058976072 3823720090 6500324153 7647440180 9559300225 13000648306 15294880360 19118600450 26001296612 32501620765 38237200900 52002593224 65003241530 76474401800 130006483060 162508103825 260012966120 325016207650 650032415300 1300064830600