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1122355104 = 253132361641
BaseRepresentation
bin100001011100101…
…1100011110100000
32220012220112202120
41002321130132200
54244310330404
6303211544240
736545601213
oct10271343640
92805815676
101122355104
115265a4002
12273a5b080
1314b6aa060
14a90bb77a
15687ee9d9
hex42e5c7a0

1122355104 has 192 divisors, whose sum is σ = 3370284288. Its totient is φ = 324403200.

The previous prime is 1122355103. The next prime is 1122355111. The reversal of 1122355104 is 4015532211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1122355103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1750624 + ... + 1751264.

It is an arithmetic number, because the mean of its divisors is an integer number (17553564).

Almost surely, 21122355104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685142144).

1122355104 is an abundant number, since it is smaller than the sum of its proper divisors (2247929184).

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

1122355104 is a wasteful number, since it uses less digits than its factorization.

1122355104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1122355104 is about 33501.5686796902. The cubic root of 1122355104 is about 1039.2262193063.

Adding to 1122355104 its reverse (4015532211), we get a palindrome (5137887315).

The spelling of 1122355104 in words is "one billion, one hundred twenty-two million, three hundred fifty-five thousand, one hundred four".