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1201014320 = 2451119109659
BaseRepresentation
bin100011110010110…
…0000011000110000
310002200220211220212
41013211200120300
54424424424240
6315101523252
741522311322
oct10745403060
93080824825
101201014320
11566a39920
12296273528
13161a8b07c
14b5715612
157068b165
hex47960630

1201014320 has 160 divisors (see below), whose sum is σ = 3240864000. Its totient is φ = 409328640.

The previous prime is 1201014319. The next prime is 1201014337. The reversal of 1201014320 is 234101021.

It is a junction number, because it is equal to n+sod(n) for n = 1201014295 and 1201014304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1822151 + ... + 1822809.

It is an arithmetic number, because the mean of its divisors is an integer number (20255400).

Almost surely, 21201014320 is an apocalyptic number.

1201014320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620432000).

1201014320 is an abundant number, since it is smaller than the sum of its proper divisors (2039849680).

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

1201014320 is a wasteful number, since it uses less digits than its factorization.

1201014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1201014320 is about 34655.6535070398. The cubic root of 1201014320 is about 1062.9578948173.

Adding to 1201014320 its reverse (234101021), we get a palindrome (1435115341).

It can be divided in two parts, 120101 and 4320, that added together give a palindrome (124421).

The spelling of 1201014320 in words is "one billion, two hundred one million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 109 110 152 176 190 209 218 220 304 380 418 436 440 545 659 760 836 872 880 1045 1090 1199 1318 1520 1672 1744 2071 2090 2180 2398 2636 3295 3344 4142 4180 4360 4796 5272 5995 6590 7249 8284 8360 8720 9592 10355 10544 11990 12521 13180 14498 16568 16720 19184 20710 22781 23980 25042 26360 28996 33136 36245 41420 45562 47960 50084 52720 57992 62605 71831 72490 82840 91124 95920 100168 113905 115984 125210 137731 143662 144980 165680 182248 200336 227810 250420 275462 287324 289960 359155 364496 455620 500840 550924 574648 579920 688655 718310 790141 911240 1001680 1101848 1149296 1364789 1377310 1436620 1580282 1822480 2203696 2729578 2754620 2873240 3160564 3950705 5459156 5509240 5746480 6321128 6823945 7901410 10918312 11018480 12642256 13647890 15012679 15802820 21836624 27295780 30025358 31605640 54591560 60050716 63211280 75063395 109183120 120101432 150126790 240202864 300253580 600507160 1201014320