Search a number
-
+
3122521114104 = 23357232780309
BaseRepresentation
bin101101011100000100110…
…000110000010111111000
3102001111202212100202100000
4231130010300300113320
5402124410401122404
610350244424113000
7441410661354300
oct55340460602770
912044685322300
103122521114104
11aa4287846177
124251ba005760
131985b6129c62
14ab1b8dc8600
1556355be6339
hex2d704c305f8

3122521114104 has 144 divisors (see below), whose sum is σ = 10201888078200. Its totient is φ = 892148862528.

The previous prime is 3122521114079. The next prime is 3122521114123. The reversal of 3122521114104 is 4014111252213.

3122521114104 is a `hidden beast` number, since 3 + 1 + 22 + 521 + 1 + 14 + 104 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16294899 + ... + 16485410.

Almost surely, 23122521114104 is an apocalyptic number.

It is an amenable number.

3122521114104 is an abundant number, since it is smaller than the sum of its proper divisors (7079366964096).

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

3122521114104 is a wasteful number, since it uses less digits than its factorization.

3122521114104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32780344 (or 32780321 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 3122521114104 its reverse (4014111252213), we get a palindrome (7136632366317).

The spelling of 3122521114104 in words is "three trillion, one hundred twenty-two billion, five hundred twenty-one million, one hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2268 2646 3402 3528 3969 4536 5292 6804 7938 10584 11907 13608 15876 23814 31752 47628 95256 32780309 65560618 98340927 131121236 196681854 229462163 262242472 295022781 393363708 458924326 590045562 688386489 786727416 885068343 917848652 1180091124 1376772978 1606235141 1770136686 1835697304 2065159467 2360182248 2655205029 2753545956 3212470282 3540273372 4130318934 4818705423 5310410058 5507091912 6195478401 6424940564 7080546744 7965615087 8260637868 9637410846 10620820116 12390956802 12849881128 14456116269 15931230174 16521275736 18586435203 19274821692 21241640232 24781913604 28912232538 31862460348 37172870406 38549643384 43368348807 49563827208 55759305609 57824465076 63724920696 74345740812 86736697614 111518611218 115648930152 130105046421 148691481624 173473395228 223037222436 260210092842 346946790456 390315139263 446074444872 520420185684 780630278526 1040840371368 1561260557052 3122521114104