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1311199064 = 237311037333
BaseRepresentation
bin100111000100111…
…0100111101011000
310101101020210222022
41032021310331120
510141131332224
6334035314012
744331002540
oct11611647530
93341223868
101311199064
1161315729a
1230714b908
1317b859546
14c61d8320
157a1a365e
hex4e274f58

1311199064 has 64 divisors (see below), whose sum is σ = 2928906240. Its totient is φ = 538462080.

The previous prime is 1311199061. The next prime is 1311199117. The reversal of 1311199064 is 4609911131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311199061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175142 + ... + 182474.

It is an arithmetic number, because the mean of its divisors is an integer number (45764160).

Almost surely, 21311199064 is an apocalyptic number.

1311199064 is a gapful number since it is divisible by the number (14) 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 1311199064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464453120).

1311199064 is an abundant number, since it is smaller than the sum of its proper divisors (1617707176).

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

1311199064 is a wasteful number, since it uses less digits than its factorization.

1311199064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 35.

The square root of 1311199064 is about 36210.4827915895. The cubic root of 1311199064 is about 1094.5179209990.

The spelling of 1311199064 in words is "one billion, three hundred eleven million, one hundred ninety-nine thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 103 124 206 217 248 412 434 721 824 868 1442 1736 2884 3193 5768 6386 7333 12772 14666 22351 25544 29332 44702 51331 58664 89404 102662 178808 205324 227323 410648 454646 755299 909292 1510598 1591261 1818584 3021196 3182522 5287093 6042392 6365044 10574186 12730088 21148372 23414269 42296744 46828538 93657076 163899883 187314152 327799766 655599532 1311199064