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1210201300 = 2252711732153
BaseRepresentation
bin100100000100010…
…0011010011010100
310010100012121002101
41020020203103110
54434302420200
6320030451444
741663353450
oct11010432324
93110177071
101210201300
11571144170
12299363b84
13163956859
14b6a27660
15713a326a
hex482234d4

1210201300 has 144 divisors (see below), whose sum is σ = 3320537472. Its totient is φ = 371865600.

The previous prime is 1210201283. The next prime is 1210201339. The reversal of 1210201300 is 31020121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561024 + ... + 563176.

It is an arithmetic number, because the mean of its divisors is an integer number (23059288).

Almost surely, 21210201300 is an apocalyptic number.

1210201300 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 1210201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660268736).

1210201300 is an abundant number, since it is smaller than the sum of its proper divisors (2110336172).

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

1210201300 is a wasteful number, since it uses less digits than its factorization.

1210201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1210201300 is about 34787.9476255786. The cubic root of 1210201300 is about 1065.6613259776.

Adding to 1210201300 its reverse (31020121), we get a palindrome (1241221421).

The spelling of 1210201300 in words is "one billion, two hundred ten million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 73 77 100 110 140 146 154 175 220 275 292 308 350 365 385 511 550 700 730 770 803 1022 1100 1460 1540 1606 1825 1925 2044 2153 2555 3212 3650 3850 4015 4306 5110 5621 7300 7700 8030 8612 10220 10765 11242 12775 15071 16060 20075 21530 22484 23683 25550 28105 30142 40150 43060 47366 51100 53825 56210 60284 75355 80300 94732 107650 112420 118415 140525 150710 157169 165781 215300 236830 281050 301420 314338 331562 376775 473660 562100 592075 628676 663124 753550 785845 828905 1100183 1184150 1507100 1571690 1657810 1728859 2200366 2368300 3143380 3315620 3457718 3929225 4144525 4400732 5500915 6915436 7858450 8289050 8644295 11001830 12102013 15716900 16578100 17288590 22003660 24204026 27504575 34577180 43221475 48408052 55009150 60510065 86442950 110018300 121020130 172885900 242040260 302550325 605100650 1210201300