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1121303424 = 27341671063
BaseRepresentation
bin100001011010101…
…1011101110000000
32220010221010010110
41002311123232000
54244023202144
6303133231320
736533631123
oct10265335600
92803833113
101121303424
11525a4594a
12273632540
1314b3cc467
14a8cc63ba
15686930b9
hex42d5bb80

1121303424 has 128 divisors (see below), whose sum is σ = 3099559680. Its totient is φ = 358871040.

The previous prime is 1121303401. The next prime is 1121303453. The reversal of 1121303424 is 4243031211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1121303424.

It is a congruent number.

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, 1054317 + ... + 1055379.

It is an arithmetic number, because the mean of its divisors is an integer number (24215310).

Almost surely, 21121303424 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 1121303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549779840).

1121303424 is an abundant number, since it is smaller than the sum of its proper divisors (1978256256).

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

1121303424 is a wasteful number, since it uses less digits than its factorization.

1121303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1121303424 is about 33485.8690196327. The cubic root of 1121303424 is about 1038.9015226114.

Adding to 1121303424 its reverse (4243031211), we get a palindrome (5364334635).

The spelling of 1121303424 in words is "one billion, one hundred twenty-one million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 67 82 96 123 128 134 164 192 201 246 268 328 384 402 492 536 656 804 984 1063 1072 1312 1608 1968 2126 2144 2624 2747 3189 3216 3936 4252 4288 5248 5494 6378 6432 7872 8241 8504 8576 10988 12756 12864 15744 16482 17008 21976 25512 25728 32964 34016 43583 43952 51024 65928 68032 71221 87166 87904 102048 130749 131856 136064 142442 174332 175808 204096 213663 261498 263712 284884 348664 351616 408192 427326 522996 527424 569768 697328 854652 1045992 1054848 1139536 1394656 1709304 2091984 2279072 2789312 2920061 3418608 4183968 4558144 5578624 5840122 6837216 8367936 8760183 9116288 11680244 13674432 16735872 17520366 23360488 27348864 35040732 46720976 70081464 93441952 140162928 186883904 280325856 373767808 560651712 1121303424