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1121110144 = 27711113749
BaseRepresentation
bin100001011010010…
…1100100010000000
32220010120021222221
41002310230202000
54244001011034
6303125140424
736532164460
oct10264544200
92803507887
101121110144
11525923710
1227355a714
1314b3624ab
14a8c75ba0
1568655bb4
hex42d2c880

1121110144 has 64 divisors (see below), whose sum is σ = 2784600000. Its totient is φ = 436792320.

The previous prime is 1121110117. The next prime is 1121110171. The reversal of 1121110144 is 4410111211.

It is an interprime number because it is at equal distance from previous prime (1121110117) and next prime (1121110171).

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47019 + ... + 66730.

It is an arithmetic number, because the mean of its divisors is an integer number (43509375).

Almost surely, 21121110144 is an apocalyptic number.

1121110144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1121110144 is an abundant number, since it is smaller than the sum of its proper divisors (1663489856).

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

1121110144 is a wasteful number, since it uses less digits than its factorization.

1121110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113781 (or 113769 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 1121110144 is about 33482.9829017667. The cubic root of 1121110144 is about 1038.8418270760.

Adding to 1121110144 its reverse (4410111211), we get a palindrome (5531221355).

The spelling of 1121110144 in words is "one billion, one hundred twenty-one million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 113749 227498 454996 796243 909992 1251239 1592486 1819984 2502478 3184972 3639968 5004956 6369944 7279936 8758673 10009912 12739888 14559872 17517346 20019824 25479776 35034692 40039648 50959552 70069384 80079296 101919104 140138768 160158592 280277536 560555072 1121110144