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1121014296 = 233323474801
BaseRepresentation
bin100001011010001…
…0101001000011000
32220010101102112000
41002310111020120
54243434424141
6303123121000
736531315153
oct10264251030
92803342460
101121014296
115258686a6
12273513160
1314b32a98c
14a8c4cc9a
15686375b6
hex42d15218

1121014296 has 128 divisors (see below), whose sum is σ = 3319142400. Its totient is φ = 349747200.

The previous prime is 1121014267. The next prime is 1121014309. The reversal of 1121014296 is 6924101211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231096 + ... + 235896.

It is an arithmetic number, because the mean of its divisors is an integer number (25930800).

Almost surely, 21121014296 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 1121014296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659571200).

1121014296 is an abundant number, since it is smaller than the sum of its proper divisors (2198128104).

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

1121014296 is a wasteful number, since it uses less digits than its factorization.

1121014296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4886 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1121014296 is about 33481.5515769506. The cubic root of 1121014296 is about 1038.8122213768.

The spelling of 1121014296 in words is "one billion, one hundred twenty-one million, fourteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 47 54 69 72 92 94 108 138 141 184 188 207 216 276 282 376 414 423 552 564 621 828 846 1081 1128 1242 1269 1656 1692 2162 2484 2538 3243 3384 4324 4801 4968 5076 6486 8648 9602 9729 10152 12972 14403 19204 19458 25944 28806 29187 38408 38916 43209 57612 58374 77832 86418 110423 115224 116748 129627 172836 220846 225647 233496 259254 331269 345672 441692 451294 518508 662538 676941 883384 902588 993807 1037016 1325076 1353882 1805176 1987614 2030823 2650152 2707764 2981421 3975228 4061646 5189881 5415528 5962842 6092469 7950456 8123292 10379762 11925684 12184938 15569643 16246584 20759524 23851368 24369876 31139286 41519048 46708929 48739752 62278572 93417858 124557144 140126787 186835716 280253574 373671432 560507148 1121014296