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91113120 = 25335723131
BaseRepresentation
bin1010110111001…
…00011010100000
320100110000201000
411123210122200
5141311104440
613012512000
72154306630
oct533443240
9210400630
1091113120
11474816aa
122661b600
1315b517b7
14c15a6c0
157eeb730
hex56e46a0

91113120 has 384 divisors, whose sum is σ = 383201280. Its totient is φ = 19768320.

The previous prime is 91113109. The next prime is 91113131. The reversal of 91113120 is 2131119.

It is an interprime number because it is at equal distance from previous prime (91113109) and next prime (91113131).

It is a super-2 number, since 2×911131202 = 16603201272268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 91113093 and 91113102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695455 + ... + 695585.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 291113120 is an apocalyptic number.

91113120 is a gapful number since it is divisible by the number (90) 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 91113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191600640).

91113120 is an abundant number, since it is smaller than the sum of its proper divisors (292088160).

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

91113120 is a wasteful number, since it uses less digits than its factorization.

91113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 91113120 is about 9545.3192717688. The cubic root of 91113120 is about 449.9804435946.

Adding to 91113120 its reverse (2131119), we get a palindrome (93244239).

The spelling of 91113120 in words is "ninety-one million, one hundred thirteen thousand, one hundred twenty".