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1120124334 = 237236119009
BaseRepresentation
bin100001011000011…
…1011110110101110
32220001201012201110
41002300323312232
54243222434314
6303052052450
736520620420
oct10260736656
92801635643
101120124334
1152530aa9a
12273164126
1314b0a8884
14a8a9a810
156850da59
hex42c3bdae

1120124334 has 64 divisors (see below), whose sum is σ = 2715540480. Its totient is φ = 301086720.

The previous prime is 1120124323. The next prime is 1120124359. The reversal of 1120124334 is 4334210211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1120124334.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49422 + ... + 68430.

It is an arithmetic number, because the mean of its divisors is an integer number (42430320).

Almost surely, 21120124334 is an apocalyptic number.

1120124334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120124334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357770240).

1120124334 is an abundant number, since it is smaller than the sum of its proper divisors (1595416146).

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

1120124334 is a wasteful number, since it uses less digits than its factorization.

1120124334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19105.

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

The square root of 1120124334 is about 33468.2586042357. The cubic root of 1120124334 is about 1038.5372477317.

Adding to 1120124334 its reverse (4334210211), we get a palindrome (5454334545).

The spelling of 1120124334 in words is "one billion, one hundred twenty million, one hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 61 69 122 138 161 183 322 366 427 483 854 966 1281 1403 2562 2806 4209 8418 9821 19009 19642 29463 38018 57027 58926 114054 133063 266126 399189 437207 798378 874414 1159549 1311621 2319098 2623242 3060449 3478647 6120898 6957294 8116843 9181347 16233686 18362694 24350529 26669627 48701058 53339254 80008881 160017762 186687389 373374778 560062167 1120124334