Search a number
-
+
20311203300 = 22352196135813
BaseRepresentation
bin10010111010101001…
…000101110111100100
31221102112010000220220
4102322221011313210
5313044132001200
613155243324340
71316221244103
oct227251056744
957375100826
1020311203300
118683165733
123b2a2206b0
131bb8cc8bbb
14da977403a
157dd23e4a0
hex4baa45de4

20311203300 has 144 divisors (see below), whose sum is σ = 61971658560. Its totient is φ = 5121999360.

The previous prime is 20311203299. The next prime is 20311203397. The reversal of 20311203300 is 330211302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20311203300.

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, 3491194 + ... + 3497006.

It is an arithmetic number, because the mean of its divisors is an integer number (430358740).

Almost surely, 220311203300 is an apocalyptic number.

20311203300 is a gapful number since it is divisible by the number (20) 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 20311203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30985829280).

20311203300 is an abundant number, since it is smaller than the sum of its proper divisors (41660455260).

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

20311203300 is a wasteful number, since it uses less digits than its factorization.

20311203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 6455 counting only the distinct ones).

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

Adding to 20311203300 its reverse (330211302), we get a palindrome (20641414602).

The spelling of 20311203300 in words is "twenty billion, three hundred eleven million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 613 950 1140 1226 1425 1839 1900 2452 2850 3065 3678 5700 5813 6130 7356 9195 11626 11647 12260 15325 17439 18390 23252 23294 29065 30650 34878 34941 36780 45975 46588 58130 58235 61300 69756 69882 87195 91950 110447 116260 116470 139764 145325 174390 174705 183900 220894 232940 290650 291175 331341 348780 349410 435975 441788 552235 581300 582350 662682 698820 871950 873525 1104470 1164700 1325364 1656705 1743900 1747050 2208940 2761175 3313410 3494100 3563369 5522350 6626820 7126738 8283525 10690107 11044700 14253476 16567050 17816845 21380214 33134100 35633690 42760428 53450535 67704011 71267380 89084225 106901070 135408022 178168450 203112033 213802140 267252675 270816044 338520055 356336900 406224066 534505350 677040110 812448132 1015560165 1069010700 1354080220 1692600275 2031120330 3385200550 4062240660 5077800825 6770401100 10155601650 20311203300