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11201692320 = 25325713731171
BaseRepresentation
bin10100110111010110…
…00100001010100000
31001220122221221002100
422123223010022200
5140420113123240
65051311050400
7544405546050
oct123353041240
931818857070
1011201692320
114829077265
122207510a00
131096955010
147839b3560
1545862ee30
hex29bac42a0

11201692320 has 576 divisors, whose sum is σ = 47732315904. Its totient is φ = 2329067520.

The previous prime is 11201692301. The next prime is 11201692321. The reversal of 11201692320 is 2329610211.

It is not an unprimeable number, because it can be changed into a prime (11201692321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9565335 + ... + 9566505.

It is an arithmetic number, because the mean of its divisors is an integer number (82868604).

Almost surely, 211201692320 is an apocalyptic number.

11201692320 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 11201692320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23866157952).

11201692320 is an abundant number, since it is smaller than the sum of its proper divisors (36530623584).

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

11201692320 is a wasteful number, since it uses less digits than its factorization.

11201692320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 11201692320 in words is "eleven billion, two hundred one million, six hundred ninety-two thousand, three hundred twenty".