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1301213100 = 22352111920753
BaseRepresentation
bin100110110001110…
…1110111110101100
310100200110110210210
41031203232332230
510131102304400
6333041302420
744150062125
oct11543567654
93320413723
101301213100
11608556730
12303934a10
131797711a5
14c4b5904c
157937e950
hex4d8eefac

1301213100 has 144 divisors (see below), whose sum is σ = 4323473280. Its totient is φ = 298828800.

The previous prime is 1301213071. The next prime is 1301213131. The reversal of 1301213100 is 13121031.

It is a super-2 number, since 2×13012131002 = 3386311063223220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52324 + ... + 73076.

It is an arithmetic number, because the mean of its divisors is an integer number (30024120).

Almost surely, 21301213100 is an apocalyptic number.

1301213100 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 1301213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161736640).

1301213100 is an abundant number, since it is smaller than the sum of its proper divisors (3022260180).

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

1301213100 is a wasteful number, since it uses less digits than its factorization.

1301213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20800 (or 20793 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1301213100 is about 36072.3315021361. The cubic root of 1301213100 is about 1091.7322566759.

Adding to 1301213100 its reverse (13121031), we get a palindrome (1314334131).

The spelling of 1301213100 in words is "one billion, three hundred one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20753 20900 31350 41506 62259 62700 83012 103765 124518 207530 228283 249036 311295 394307 415060 456566 518825 622590 684849 788614 913132 1037650 1141415 1182921 1245180 1369698 1556475 1577228 1971535 2075300 2282830 2365842 2739396 3112950 3424245 3943070 4337377 4565660 4731684 5707075 5914605 6225900 6848490 7886140 8674754 9857675 11414150 11829210 13012131 13696980 17121225 17349508 19715350 21686885 22828300 23658420 26024262 29573025 34242450 39430700 43373770 52048524 59146050 65060655 68484900 86747540 108434425 118292100 130121310 216868850 260242620 325303275 433737700 650606550 1301213100