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1311420000 = 25354111987
BaseRepresentation
bin100111000101010…
…1010111001100000
310101101200001001010
41032022222321200
510141210420000
6334044140520
744332612632
oct11612527140
93341601033
101311420000
11613298290
12307237740
1317b905c87
14c6254a52
157a1e8d50
hex4e2aae60

1311420000 has 240 divisors, whose sum is σ = 4695147072. Its totient is φ = 317760000.

The previous prime is 1311419983. The next prime is 1311420013. The reversal of 1311420000 is 241131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659007 + ... + 660993.

Almost surely, 21311420000 is an apocalyptic number.

1311420000 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 1311420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347573536).

1311420000 is an abundant number, since it is smaller than the sum of its proper divisors (3383727072).

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

1311420000 is a wasteful number, since it uses less digits than its factorization.

1311420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1311420000 is about 36213.5333818726. The cubic root of 1311420000 is about 1094.5793926797.

Adding to 1311420000 its reverse (241131), we get a palindrome (1311661131).

The spelling of 1311420000 in words is "one billion, three hundred eleven million, four hundred twenty thousand".