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1121305504 = 251113124317
BaseRepresentation
bin100001011010101…
…1100001110100000
32220010221012222111
41002311130032200
54244023234004
6303133245104
736533640154
oct10265341640
92803835874
101121305504
11525a47470
12273633794
1314b4003a7
14a8cc7064
1568693a04
hex42d5c3a0

1121305504 has 48 divisors (see below), whose sum is σ = 2426741856. Its totient is φ = 505772800.

The previous prime is 1121305481. The next prime is 1121305511. The reversal of 1121305504 is 4055031211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 33954 + ... + 58270.

It is an arithmetic number, because the mean of its divisors is an integer number (50557122).

Almost surely, 21121305504 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 1121305504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213370928).

1121305504 is an abundant number, since it is smaller than the sum of its proper divisors (1305436352).

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

1121305504 is a wasteful number, since it uses less digits than its factorization.

1121305504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24469 (or 24461 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1121305504 is about 33485.9000774953. The cubic root of 1121305504 is about 1038.9021649929.

Adding to 1121305504 its reverse (4055031211), we get a palindrome (5176336715).

The spelling of 1121305504 in words is "one billion, one hundred twenty-one million, three hundred five thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 524 1048 1441 2096 2882 4192 5764 11528 23056 24317 46112 48634 97268 194536 267487 389072 534974 778144 1069948 2139896 3185527 4279792 6371054 8559584 12742108 25484216 35040797 50968432 70081594 101936864 140163188 280326376 560652752 1121305504