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13014022320 = 24325131390387
BaseRepresentation
bin11000001111011001…
…00011100010110000
31020120222011211110200
430013230203202300
5203123042203240
65551211355200
7640333236015
oct140754434260
936528154420
1013014022320
115579092652
122632452b00
1312c5271330
148b657970c
155127c1930
hex307b238b0

13014022320 has 120 divisors (see below), whose sum is σ = 47067414576. Its totient is φ = 3203449344.

The previous prime is 13014022297. The next prime is 13014022337. The reversal of 13014022320 is 2322041031.

13014022320 is a `hidden beast` number, since 1 + 30 + 1 + 402 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 13014022293 and 13014022302.

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, 685834 + ... + 704553.

Almost surely, 213014022320 is an apocalyptic number.

13014022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13014022320 is an abundant number, since it is smaller than the sum of its proper divisors (34053392256).

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

13014022320 is a wasteful number, since it uses less digits than its factorization.

13014022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390419 (or 1390410 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13014022320 its reverse (2322041031), we get a palindrome (15336063351).

The spelling of 13014022320 in words is "thirteen billion, fourteen million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 1390387 2780774 4171161 5561548 6951935 8342322 11123096 12513483 13903870 16684644 18075031 20855805 22246192 25026966 27807740 33369288 36150062 41711610 50053932 54225093 55615480 62567415 66738576 72300124 83423220 90375155 100107864 108450186 111230960 125134830 144600248 162675279 166846440 180750310 200215728 216900372 250269660 271125465 289200496 325350558 333692880 361500620 433800744 500539320 542250930 650701116 723001240 813376395 867601488 1001078640 1084501860 1301402232 1446002480 1626752790 2169003720 2602804464 3253505580 4338007440 6507011160 13014022320