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1300002210 = 234513123457
BaseRepresentation
bin100110101111100…
…0111010110100010
310100121011221210000
41031133013112202
510130300032320
6332555320430
744133556623
oct11537072642
93317157700
101300002210
116078a99a1
12303450116
13179438ca0
14c4921a4a
15791e0c90
hex4d7c75a2

1300002210 has 80 divisors (see below), whose sum is σ = 3764481336. Its totient is φ = 319997952.

The previous prime is 1300002199. The next prime is 1300002229. The reversal of 1300002210 is 122000031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1177656489 + 122345721 = 34317^2 + 11061^2 .

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 = 1300002192 and 1300002201.

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 39 ways as a sum of consecutive naturals, for example, 51199 + ... + 72258.

Almost surely, 21300002210 is an apocalyptic number.

1300002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1300002210 is an abundant number, since it is smaller than the sum of its proper divisors (2464479126).

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

1300002210 is a wasteful number, since it uses less digits than its factorization.

1300002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123489 (or 123480 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1300002210 is about 36055.5434018127. The cubic root of 1300002210 is about 1091.3935015167.

Adding to 1300002210 its reverse (122000031), we get a palindrome (1422002241).

The spelling of 1300002210 in words is "one billion, three hundred million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5265 10530 123457 246914 370371 617285 740742 1111113 1234570 1604941 1851855 2222226 3209882 3333339 3703710 4814823 5555565 6666678 8024705 9629646 10000017 11111130 14444469 16049410 16666695 20000034 24074115 28888938 33333390 43333407 48148230 50000085 72222345 86666814 100000170 130000221 144444690 216667035 260000442 433334070 650001105 1300002210