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1123204104 = 2333112916301
BaseRepresentation
bin100001011110010…
…1011110000001000
32220021111200101000
41002330223300020
54300020012404
6303242055000
736556035351
oct10274536010
92807450330
101123204104
11527023960
122741aa460
1314b916619
14a925cd28
156891b339
hex42f2bc08

1123204104 has 128 divisors (see below), whose sum is σ = 3521232000. Its totient is φ = 328608000.

The previous prime is 1123204099. The next prime is 1123204123. The reversal of 1123204104 is 4014023211.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 60754 + ... + 77054.

It is an arithmetic number, because the mean of its divisors is an integer number (27509625).

Almost surely, 21123204104 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 1123204104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760616000).

1123204104 is an abundant number, since it is smaller than the sum of its proper divisors (2398027896).

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

1123204104 is a wasteful number, since it uses less digits than its factorization.

1123204104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16356 (or 16346 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1123204104 is about 33514.2373328113. The cubic root of 1123204104 is about 1039.4881924493.

Adding to 1123204104 its reverse (4014023211), we get a palindrome (5137227315).

The spelling of 1123204104 in words is "one billion, one hundred twenty-three million, two hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 174 198 216 232 261 264 297 319 348 396 522 594 638 696 783 792 957 1044 1188 1276 1566 1914 2088 2376 2552 2871 3132 3828 5742 6264 7656 8613 11484 16301 17226 22968 32602 34452 48903 65204 68904 97806 130408 146709 179311 195612 293418 358622 391224 440127 472729 537933 586836 717244 880254 945458 1075866 1173672 1418187 1434488 1613799 1760508 1890916 2151732 2836374 3227598 3521016 3781832 4254561 4303464 4841397 5200019 5672748 6455196 8509122 9682794 10400038 11345496 12763683 12910392 15600057 17018244 19365588 20800076 25527366 31200114 34036488 38731176 41600152 46800171 51054732 62400228 93600342 102109464 124800456 140400513 187200684 280801026 374401368 561602052 1123204104