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11442313101300 = 2235261625263011
BaseRepresentation
bin1010011010000001111100…
…0000011111111111110100
31111111212121110210022021020
42212200133000133333310
52444432324123220200
640200305344221140
72260452120413604
oct246403700377764
944455543708236
1011442313101300
113711726499614
12134971b60a7b0
1365000c0c6133
142b7b4d1c4c04
1514c992b97ea0
hexa681f01fff4

11442313101300 has 72 divisors (see below), whose sum is σ = 33649154253792. Its totient is φ = 3001262448000.

The previous prime is 11442313101293. The next prime is 11442313101377. The reversal of 11442313101300 is 310131324411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312613206 + ... + 312649805.

It is an arithmetic number, because the mean of its divisors is an integer number (467349364636).

Almost surely, 211442313101300 is an apocalyptic number.

11442313101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442313101300 is an abundant number, since it is smaller than the sum of its proper divisors (22206841152492).

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

11442313101300 is a wasteful number, since it uses less digits than its factorization.

11442313101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625263089 (or 625263082 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11442313101300 its reverse (310131324411), we get a palindrome (11752444425711).

The spelling of 11442313101300 in words is "eleven trillion, four hundred forty-two billion, three hundred thirteen million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 9150 18300 625263011 1250526022 1875789033 2501052044 3126315055 3751578066 6252630110 7503156132 9378945165 12505260220 15631575275 18757890330 31263150550 37515780660 38141043671 46894725825 62526301100 76282087342 93789451650 114423131013 152564174684 187578903300 190705218355 228846262026 381410436710 457692524052 572115655065 762820873420 953526091775 1144231310130 1907052183550 2288462620260 2860578275325 3814104367100 5721156550650 11442313101300