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1122301312 = 27111575077
BaseRepresentation
bin100001011100100…
…1111010110000000
32220012210210222021
41002321033112000
54244302120222
6303210451224
736545255326
oct10271172600
92805723867
101122301312
11526567650
12273a33b14
1314b68b722
14a90a5d16
15687ddac7
hex42e4f580

1122301312 has 64 divisors (see below), whose sum is σ = 2455111440. Its totient is φ = 506787840.

The previous prime is 1122301249. The next prime is 1122301321. The reversal of 1122301312 is 2131032211.

It is a tau number, because it is divible by the number of its divisors (64).

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, 218518 + ... + 223594.

Almost surely, 21122301312 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 1122301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227555720).

1122301312 is an abundant number, since it is smaller than the sum of its proper divisors (1332810128).

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

1122301312 is a wasteful number, since it uses less digits than its factorization.

1122301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1122301312 is about 33500.7658419923. The cubic root of 1122301312 is about 1039.2096164357.

Adding to 1122301312 its reverse (2131032211), we get a palindrome (3253333523).

The spelling of 1122301312 in words is "one billion, one hundred twenty-two million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 157 176 314 352 628 704 1256 1408 1727 2512 3454 5024 5077 6908 10048 10154 13816 20096 20308 27632 40616 55264 55847 81232 110528 111694 162464 221056 223388 324928 446776 649856 797089 893552 1594178 1787104 3188356 3574208 6376712 7148416 8767979 12753424 17535958 25506848 35071916 51013696 70143832 102027392 140287664 280575328 561150656 1122301312