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1122011424 = 2532171012269
BaseRepresentation
bin100001011100000…
…1000100100100000
32220012021002022200
41002320020210200
54244213331144
6303200333200
736542640222
oct10270104440
92805232280
101122011424
11526389876
12273914200
1314b5b97b1
14a902c412
1568782c69
hex42e08920

1122011424 has 144 divisors (see below), whose sum is σ = 3413362680. Its totient is φ = 348364800.

The previous prime is 1122011411. The next prime is 1122011531. The reversal of 1122011424 is 4241102211.

1122011424 is a `hidden beast` number, since 11 + 220 + 11 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1058331024 + 63680400 = 32532^2 + 7980^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1122011397 and 1122011406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493362 + ... + 495630.

Almost surely, 21122011424 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 1122011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706681340).

1122011424 is an abundant number, since it is smaller than the sum of its proper divisors (2291351256).

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

1122011424 is a wasteful number, since it uses less digits than its factorization.

1122011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1122011424 is about 33496.4389749119. The cubic root of 1122011424 is about 1039.1201335325.

Adding to 1122011424 its reverse (4241102211), we get a palindrome (5363113635).

The spelling of 1122011424 in words is "one billion, one hundred twenty-two million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 101 102 136 144 153 202 204 272 288 303 306 404 408 544 606 612 808 816 909 1212 1224 1616 1632 1717 1818 2269 2424 2448 3232 3434 3636 4538 4848 4896 5151 6807 6868 7272 9076 9696 10302 13614 13736 14544 15453 18152 20421 20604 27228 27472 29088 30906 36304 38573 40842 41208 54456 54944 61812 72608 77146 81684 82416 108912 115719 123624 154292 163368 164832 217824 229169 231438 247248 308584 326736 347157 458338 462876 494496 617168 653472 687507 694314 916676 925752 1234336 1375014 1388628 1833352 1851504 2062521 2750028 2777256 3666704 3703008 3895873 4125042 5500056 5554512 7333408 7791746 8250084 11000112 11109024 11687619 15583492 16500168 22000224 23375238 31166984 33000336 35062857 46750476 62333968 66000672 70125714 93500952 124667936 140251428 187001904 280502856 374003808 561005712 1122011424