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1300002200 = 235272413853
BaseRepresentation
bin100110101111100…
…0111010110011000
310100121011221202122
41031133013112120
510130300032300
6332555320412
744133556610
oct11537072630
93317157678
101300002200
116078a9992
12303450108
13179438c93
14c4921a40
15791e0c85
hex4d7c7598

1300002200 has 96 divisors (see below), whose sum is σ = 3469524960. Its totient is φ = 443750400.

The previous prime is 1300002199. The next prime is 1300002229. The reversal of 1300002200 is 22000031.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 335474 + ... + 339326.

It is an arithmetic number, because the mean of its divisors is an integer number (36140885).

Almost surely, 21300002200 is an apocalyptic number.

1300002200 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 1300002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734762480).

1300002200 is an abundant number, since it is smaller than the sum of its proper divisors (2169522760).

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

1300002200 is a wasteful number, since it uses less digits than its factorization.

1300002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1300002200 is about 36055.5432631378. The cubic root of 1300002200 is about 1091.3934987183.

Adding to 1300002200 its reverse (22000031), we get a palindrome (1322002231).

The spelling of 1300002200 in words is "one billion, three hundred million, two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 241 280 350 482 700 964 1205 1400 1687 1928 2410 3374 3853 4820 6025 6748 7706 8435 9640 12050 13496 15412 16870 19265 24100 26971 30824 33740 38530 42175 48200 53942 67480 77060 84350 96325 107884 134855 154120 168700 192650 215768 269710 337400 385300 539420 674275 770600 928573 1078840 1348550 1857146 2697100 3714292 4642865 5394200 6500011 7428584 9285730 13000022 18571460 23214325 26000044 32500055 37142920 46428650 52000088 65000110 92857300 130000220 162500275 185714600 260000440 325000550 650001100 1300002200