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1121354388 = 22337111947151
BaseRepresentation
bin100001011010110…
…1000001010010100
32220011000201001000
41002311220022110
54244031320023
6303134303300
736534232530
oct10265501224
92804021030
101121354388
11525a80170
12273657b30
1314b41970b
14a8cdabc0
15686a3243
hex42d68294

1121354388 has 384 divisors, whose sum is σ = 3922329600. Its totient is φ = 268272000.

The previous prime is 1121354383. The next prime is 1121354401. The reversal of 1121354388 is 8834531211.

1121354388 is a `hidden beast` number, since 1 + 1 + 213 + 5 + 438 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (23040) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121354383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7426113 + ... + 7426263.

It is an arithmetic number, because the mean of its divisors is an integer number (10214400).

Almost surely, 21121354388 is an apocalyptic number.

1121354388 is a gapful number since it is divisible by the number (18) 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 1121354388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961164800).

1121354388 is an abundant number, since it is smaller than the sum of its proper divisors (2800975212).

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

1121354388 is a wasteful number, since it uses less digits than its factorization.

1121354388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1121354388 is about 33486.6299886985. The cubic root of 1121354388 is about 1038.9172619655.

Adding to 1121354388 its reverse (8834531211), we get a palindrome (9955885599).

The spelling of 1121354388 in words is "one billion, one hundred twenty-one million, three hundred fifty-four thousand, three hundred eighty-eight".