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1131113216 = 28291511009
BaseRepresentation
bin100001101101011…
…0110101100000000
32220211101111122002
41003122312230000
54304031110331
6304123403132
740013206112
oct10332665400
92824344562
101131113216
11530536112
122769834a8
1315045557c
14aa31b3b2
156947e9cb
hex436b6b00

1131113216 has 72 divisors (see below), whose sum is σ = 2353461600. Its totient is φ = 541900800.

The previous prime is 1131113201. The next prime is 1131113239. The reversal of 1131113216 is 6123111311.

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, 1120520 + ... + 1121528.

Almost surely, 21131113216 is an apocalyptic number.

1131113216 is a gapful number since it is divisible by the number (16) 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 1131113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176730800).

1131113216 is an abundant number, since it is smaller than the sum of its proper divisors (1222348384).

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

1131113216 is a wasteful number, since it uses less digits than its factorization.

1131113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1191 counting only the distinct ones).

The product of its digits is 108, while the sum is 20.

The square root of 1131113216 is about 33632.0266412835. The cubic root of 1131113216 is about 1041.9223616298.

Adding to 1131113216 its reverse (6123111311), we get a palindrome (7254224527).

The spelling of 1131113216 in words is "one billion, one hundred thirty-one million, one hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 151 232 256 302 464 604 928 1009 1208 1856 2018 2416 3712 4036 4379 4832 7424 8072 8758 9664 16144 17516 19328 29261 32288 35032 38656 58522 64576 70064 117044 129152 140128 152359 234088 258304 280256 304718 468176 560512 609436 936352 1121024 1218872 1872704 2437744 3745408 4418411 4875488 7490816 8836822 9750976 17673644 19501952 35347288 39003904 70694576 141389152 282778304 565556608 1131113216