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1311212300 = 2252101197659
BaseRepresentation
bin100111000100111…
…1000001100001100
310101101021111010112
41032021320030030
510141132243200
6334035455152
744331056246
oct11611701414
93341244115
101311212300
11613166232
123071574b8
1317b862588
14c61dd096
157a1a7535
hex4e27830c

1311212300 has 72 divisors (see below), whose sum is σ = 2892471120. Its totient is φ = 515872000.

The previous prime is 1311212299. The next prime is 1311212317. The reversal of 1311212300 is 32121131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1989371 + ... + 1990029.

It is an arithmetic number, because the mean of its divisors is an integer number (40173210).

Almost surely, 21311212300 is an apocalyptic number.

1311212300 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 1311212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446235560).

1311212300 is an abundant number, since it is smaller than the sum of its proper divisors (1581258820).

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

1311212300 is a wasteful number, since it uses less digits than its factorization.

1311212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1311212300 is about 36210.6655558828. The cubic root of 1311212300 is about 1094.5216038851.

Adding to 1311212300 its reverse (32121131), we get a palindrome (1343333431).

The spelling of 1311212300 in words is "one billion, three hundred eleven million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 197 202 394 404 505 659 788 985 1010 1318 1970 2020 2525 2636 3295 3940 4925 5050 6590 9850 10100 13180 16475 19700 19897 32950 39794 65900 66559 79588 99485 129823 133118 198970 259646 266236 332795 397940 497425 519292 649115 665590 994850 1298230 1331180 1663975 1989700 2596460 3245575 3327950 6491150 6655900 12982300 13112123 26224246 52448492 65560615 131121230 262242460 327803075 655606150 1311212300