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13310223120 = 2432537499633
BaseRepresentation
bin11000110010101100…
…11110001100010000
31021100121112101120200
430121112132030100
5204224404114440
610040432135200
7650561013135
oct143126361420
937317471520
1013310223120
1157103016a7
1226b5697500
13134173ba8c
14903a4058c
1552d7cec30
hex31959e310

13310223120 has 120 divisors (see below), whose sum is σ = 45908370456. Its totient is φ = 3453456384.

The previous prime is 13310223103. The next prime is 13310223137. The reversal of 13310223120 is 2132201331.

13310223120 is a `hidden beast` number, since 1 + 331 + 0 + 22 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13310223103) and next prime (13310223137).

It can be written as a sum of positive squares in 4 ways, for example, as 3582740736 + 9727482384 = 59856^2 + 98628^2 .

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 = 13310223093 and 13310223102.

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, 223177 + ... + 276456.

Almost surely, 213310223120 is an apocalyptic number.

13310223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310223120 is an abundant number, since it is smaller than the sum of its proper divisors (32598147336).

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

13310223120 is a wasteful number, since it uses less digits than its factorization.

13310223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499689 (or 499680 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13310223120 its reverse (2132201331), we get a palindrome (15442424451).

The spelling of 13310223120 in words is "thirteen billion, three hundred ten million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 499633 999266 1498899 1998532 2498165 2997798 3997064 4496697 4996330 5995596 7494495 7994128 8993394 9992660 11991192 14988990 17986788 18486421 19985320 22483485 23982384 29977980 35973576 36972842 39970640 44966970 55459263 59955960 71947152 73945684 89933940 92432105 110918526 119911920 147891368 166377789 179867880 184864210 221837052 277296315 295782736 332755578 359735760 369728420 443674104 554592630 665511156 739456840 831888945 887348208 1109185260 1331022312 1478913680 1663777890 2218370520 2662044624 3327555780 4436741040 6655111560 13310223120