Search a number
-
+
320132113020 = 2232519293227789
BaseRepresentation
bin1001010100010010101…
…11000110001001111100
31010121022120001022222200
410222021113012021330
520221112310104040
6403022222111500
732062113030366
oct4521127061174
91117276038880
10320132113020
11113849260835
125206371b590
132425a9b1a15
14116ccbb7d36
1584d9d24630
hex4a895c627c

320132113020 has 144 divisors (see below), whose sum is σ = 1057424004000. Its totient is φ = 78086647296.

The previous prime is 320132113009. The next prime is 320132113031. The reversal of 320132113020 is 20311231023.

320132113020 is a `hidden beast` number, since 320 + 1 + 32 + 11 + 302 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (320132113009) and next prime (320132113031).

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 = 320132112984 and 320132113002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1514715 + ... + 1713074.

It is an arithmetic number, because the mean of its divisors is an integer number (7343222250).

Almost surely, 2320132113020 is an apocalyptic number.

320132113020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320132113020 is an abundant number, since it is smaller than the sum of its proper divisors (737291890980).

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

320132113020 is a wasteful number, since it uses less digits than its factorization.

320132113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227852 (or 3227847 counting only the distinct ones).

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

Adding to 320132113020 its reverse (20311231023), we get a palindrome (340443344043).

The spelling of 320132113020 in words is "three hundred twenty billion, one hundred thirty-two million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 342 348 380 435 522 551 570 580 684 855 870 1044 1102 1140 1305 1653 1710 1740 2204 2610 2755 3306 3420 4959 5220 5510 6612 8265 9918 11020 16530 19836 24795 33060 49590 99180 3227789 6455578 9683367 12911156 16138945 19366734 29050101 32277890 38733468 48416835 58100202 61327991 64555780 93605881 96833670 116200404 122655982 145250505 183983973 187211762 193667340 245311964 280817643 290501010 306639955 367967946 374423524 468029405 551951919 561635286 581002020 613279910 735935892 842452929 919919865 936058810 1103903838 1123270572 1226559820 1404088215 1684905858 1778511739 1839839730 1872117620 2207807676 2759759595 2808176430 3369811716 3557023478 3679679460 4212264645 5335535217 5519519190 5616352860 7114046956 8424529290 8892558695 10671070434 11039038380 16006605651 16849058580 17785117390 21342140868 26677676085 32013211302 35570234780 53355352170 64026422604 80033028255 106710704340 160066056510 320132113020