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1122311104 = 2631678443
BaseRepresentation
bin100001011100101…
…0001101111000000
32220012211022101221
41002321101233000
54244302423404
6303211004424
736545326015
oct10271215700
92805738357
101122311104
11526573a42
12273a39714
1314b693015
14a90a970c
15687e1954
hex42e51bc0

1122311104 has 56 divisors (see below), whose sum is σ = 2333516288. Its totient is φ = 534885120.

The previous prime is 1122311089. The next prime is 1122311119. The reversal of 1122311104 is 4011132211.

It is an interprime number because it is at equal distance from previous prime (1122311089) and next prime (1122311119).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128707 + ... + 137149.

Almost surely, 21122311104 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 1122311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166758144).

1122311104 is an abundant number, since it is smaller than the sum of its proper divisors (1211205184).

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

1122311104 is an equidigital number, since it uses as much as digits as its factorization.

1122311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1122311104 is about 33500.9119875862. The cubic root of 1122311104 is about 1039.2126387705.

Adding to 1122311104 its reverse (4011132211), we get a palindrome (5133443315).

The spelling of 1122311104 in words is "one billion, one hundred twenty-two million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 67 124 134 248 268 496 536 992 1072 1984 2077 2144 4154 4288 8308 8443 16616 16886 33232 33772 66464 67544 132928 135088 261733 270176 523466 540352 565681 1046932 1131362 2093864 2262724 4187728 4525448 8375456 9050896 16750912 17536111 18101792 35072222 36203584 70144444 140288888 280577776 561155552 1122311104