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1117121152 = 2771637649
BaseRepresentation
bin100001010010101…
…1110101010000000
32212212001122010111
41002211132222000
54241440334102
6302503441104
736453241660
oct10245365200
92785048114
101117121152
11523649724
12272156194
1314a596944
14a85181a0
1568118cd7
hex4295ea80

1117121152 has 64 divisors (see below), whose sum is σ = 2559384000. Its totient is φ = 475766784.

The previous prime is 1117121149. The next prime is 1117121183. The reversal of 1117121152 is 2511217111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142224 + ... + 149872.

It is an arithmetic number, because the mean of its divisors is an integer number (39990375).

Almost surely, 21117121152 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 1117121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279692000).

1117121152 is an abundant number, since it is smaller than the sum of its proper divisors (1442262848).

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

1117121152 is an equidigital number, since it uses as much as digits as its factorization.

1117121152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7821 counting only the distinct ones).

The product of its digits is 140, while the sum is 22.

The square root of 1117121152 is about 33423.3623682597. The cubic root of 1117121152 is about 1037.6082711219.

Adding to 1117121152 its reverse (2511217111), we get a palindrome (3628338263).

It can be divided in two parts, 11171 and 21152, that added together give a palindrome (32323).

The spelling of 1117121152 in words is "one billion, one hundred seventeen million, one hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 163 224 326 448 652 896 1141 1304 2282 2608 4564 5216 7649 9128 10432 15298 18256 20864 30596 36512 53543 61192 73024 107086 122384 146048 214172 244768 428344 489536 856688 979072 1246787 1713376 2493574 3426752 4987148 6853504 8727509 9974296 17455018 19948592 34910036 39897184 69820072 79794368 139640144 159588736 279280288 558560576 1117121152