Search a number
-
+
1113072003360 = 253251136840413
BaseRepresentation
bin10000001100101000010…
…000101110100100100000
310221102000220100100020100
4100030220100232210200
5121214032413101420
62211201015542400
7143262650631342
oct20145020564440
93842026310210
101113072003360
1139a062145659
1215b87968aa00
1380c6806a5c5
143bc31617292
151de483c7190
hex1032842e920

1113072003360 has 144 divisors (see below), whose sum is σ = 3831972561144. Its totient is φ = 294192439296.

The previous prime is 1113072003343. The next prime is 1113072003383. The reversal of 1113072003360 is 633002703111.

1113072003360 is a `hidden beast` number, since 1 + 1 + 1 + 307 + 20 + 0 + 336 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 431317935504 + 681754067856 = 656748^2 + 825684^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 3257487 + ... + 3582926.

Almost surely, 21113072003360 is an apocalyptic number.

1113072003360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1113072003360 is an abundant number, since it is smaller than the sum of its proper divisors (2718900557784).

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

1113072003360 is a wasteful number, since it uses less digits than its factorization.

1113072003360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840547 (or 6840536 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 1113072003360 its reverse (633002703111), we get a palindrome (1746074706471).

The spelling of 1113072003360 in words is "one trillion, one hundred thirteen billion, seventy-two million, three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 113 120 144 160 180 226 240 288 339 360 452 480 565 678 720 904 1017 1130 1356 1440 1695 1808 2034 2260 2712 3390 3616 4068 4520 5085 5424 6780 8136 9040 10170 10848 13560 16272 18080 20340 27120 32544 40680 54240 81360 162720 6840413 13680826 20521239 27361652 34202065 41042478 54723304 61563717 68404130 82084956 102606195 109446608 123127434 136808260 164169912 205212390 218893216 246254868 273616520 307818585 328339824 410424780 492509736 547233040 615637170 656679648 772966669 820849560 985019472 1094466080 1231274340 1545933338 1641699120 1970038944 2318900007 2462548680 3091866676 3283398240 3864833345 4637800014 4925097360 6183733352 6956700021 7729666690 9275600028 9850194720 11594500035 12367466704 13913400042 15459333380 18551200056 23189000070 24734933408 27826800084 30918666760 34783500105 37102400112 46378000140 55653600168 61837333520 69567000210 74204800224 92756000280 111307200336 123674667040 139134000420 185512000560 222614400672 278268000840 371024001120 556536001680 1113072003360