Search a number
-
+
30301321020 = 22352324572089
BaseRepresentation
bin11100001110000110…
…010111011100111100
32220012202021121002220
4130032012113130330
5444024114233040
621530434245340
72121615656535
oct341606273474
986182247086
1030301321020
111193a33aa73
125a57a26850
132b1b936269
14167648368c
15bc52e92d0
hex70e19773c

30301321020 has 144 divisors (see below), whose sum is σ = 88929566880. Its totient is φ = 7708428288.

The previous prime is 30301321013. The next prime is 30301321081. The reversal of 30301321020 is 2012310303.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 47 ways as a sum of consecutive naturals, for example, 14504136 + ... + 14506224.

Almost surely, 230301321020 is an apocalyptic number.

30301321020 is a gapful number since it is divisible by the number (30) 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 30301321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44464783440).

30301321020 is an abundant number, since it is smaller than the sum of its proper divisors (58628245860).

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

30301321020 is a wasteful number, since it uses less digits than its factorization.

30301321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30301321020 its reverse (2012310303), we get a palindrome (32313631323).

The spelling of 30301321020 in words is "thirty billion, three hundred one million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 457 460 529 690 914 1058 1371 1380 1587 1828 2089 2116 2285 2645 2742 3174 4178 4570 5290 5484 6267 6348 6855 7935 8356 9140 10445 10511 10580 12534 13710 15870 20890 21022 25068 27420 31335 31533 31740 41780 42044 48047 52555 62670 63066 96094 105110 125340 126132 144141 157665 192188 210220 240235 241753 288282 315330 480470 483506 576564 630660 720705 725259 954673 960940 967012 1105081 1208765 1441410 1450518 1909346 2210162 2417530 2864019 2882820 2901036 3315243 3626295 3818692 4420324 4773365 4835060 5525405 5728038 6630486 7252590 9546730 11050810 11456076 13260972 14320095 14505180 16576215 19093460 21957479 22101620 28640190 33152430 43914958 57280380 65872437 66304860 87829916 109787395 131744874 219574790 263489748 329362185 439149580 505022017 658724370 1010044034 1317448740 1515066051 2020088068 2525110085 3030132102 5050220170 6060264204 7575330255 10100440340 15150660510 30301321020