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11314309500 = 22335313232803
BaseRepresentation
bin10101000100110001…
…01010100101111100
31002012111212110211000
422202120222211330
5141132430401000
65110412530300
7550244021034
oct124230524574
932174773730
1011314309500
1148866a620a
122239180990
1310b40956c0
1479492a8c4
15463478000
hex2a262a97c

11314309500 has 384 divisors, whose sum is σ = 41152849920. Its totient is φ = 2663020800.

The previous prime is 11314309481. The next prime is 11314309549. The reversal of 11314309500 is 590341311.

11314309500 is a `hidden beast` number, since 1 + 13 + 143 + 0 + 9 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4035099 + ... + 4037901.

It is an arithmetic number, because the mean of its divisors is an integer number (107168880).

Almost surely, 211314309500 is an apocalyptic number.

11314309500 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 11314309500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576424960).

11314309500 is an abundant number, since it is smaller than the sum of its proper divisors (29838540420).

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

11314309500 is a wasteful number, since it uses less digits than its factorization.

11314309500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 11314309500 in words is "eleven billion, three hundred fourteen million, three hundred nine thousand, five hundred".