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1121443104 = 253311392711
BaseRepresentation
bin100001011010111…
…1101110100100000
32220011012012201210
41002311331310200
54244042134404
6303140230120
736535052265
oct10265756440
92804165653
101121443104
11526030891
1227369b340
1314b44ac02
14a8d2126c
15686be689
hex42d7dd20

1121443104 has 96 divisors (see below), whose sum is σ = 3061739520. Its totient is φ = 359020800.

The previous prime is 1121443069. The next prime is 1121443133. The reversal of 1121443104 is 4013441211.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412309 + ... + 415019.

It is an arithmetic number, because the mean of its divisors is an integer number (31893120).

Almost surely, 21121443104 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 1121443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530869760).

1121443104 is an abundant number, since it is smaller than the sum of its proper divisors (1940296416).

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

1121443104 is a wasteful number, since it uses less digits than its factorization.

1121443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1121443104 is about 33487.9546105760. The cubic root of 1121443104 is about 1038.9446592375.

Adding to 1121443104 its reverse (4013441211), we get a palindrome (5134884315).

The spelling of 1121443104 in words is "one billion, one hundred twenty-one million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 139 186 248 278 372 417 496 556 744 834 992 1112 1488 1668 2224 2711 2976 3336 4309 4448 5422 6672 8133 8618 10844 12927 13344 16266 17236 21688 25854 32532 34472 43376 51708 65064 68944 84041 86752 103416 130128 137888 168082 206832 252123 260256 336164 376829 413664 504246 672328 753658 1008492 1130487 1344656 1507316 2016984 2260974 2689312 3014632 4033968 4521948 6029264 8067936 9043896 11681699 12058528 18087792 23363398 35045097 36175584 46726796 70090194 93453592 140180388 186907184 280360776 373814368 560721552 1121443104