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210320210230020 = 223251129656575309
BaseRepresentation
bin101111110100100011111101…
…011010110111101100000100
31000120200102020001220101202200
4233310203331122313230010
5210031341242304330040
62023151434251034500
762205063606014052
oct5764437532675404
91016612201811680
10210320210230020
1161018333702600
121b709570a3ba30
13904815934a397
1439d17a40631d2
15194ada0ad7630
hexbf48fd6b7b04

210320210230020 has 108 divisors (see below), whose sum is σ = 701241185861580. Its totient is φ = 50986717626240.

The previous prime is 210320210230003. The next prime is 210320210230027. The reversal of 210320210230020 is 20032012023012.

210320210230020 is a `hidden beast` number, since 2 + 1 + 0 + 320 + 21 + 0 + 2 + 300 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49912868529216 + 160407341700804 = 7064904^2 + 12665202^2 .

It is a super-2 number, since 2×2103202102300202 (a number of 29 digits) contains 22 as substring.

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 = 210320210229975 and 210320210230002.

It is not an unprimeable number, because it can be changed into a prime (210320210230027) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4828265875 + ... + 4828309434.

Almost surely, 2210320210230020 is an apocalyptic number.

210320210230020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210320210230020 is an abundant number, since it is smaller than the sum of its proper divisors (490920975631560).

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

210320210230020 is a wasteful number, since it uses less digits than its factorization.

210320210230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9656575346 (or 9656575330 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 210320210230020 its reverse (20032012023012), we get a palindrome (230352222253032).

The spelling of 210320210230020 in words is "two hundred ten trillion, three hundred twenty billion, two hundred ten million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 9656575309 19313150618 28969725927 38626301236 48282876545 57939451854 86909177781 96565753090 106222328399 115878903708 144848629635 173818355562 193131506180 212444656798 289697259270 318666985197 347636711124 424889313596 434545888905 531111641995 579394518540 637333970394 869091777810 956000955591 1062223283990 1168445612389 1274667940788 1593334925985 1738183555620 1912001911182 2124446567980 2336891224778 3186669851970 3505336837167 3824003822364 4673782449556 4780004777955 5842228061945 6373339703940 7010673674334 9560009555910 10516010511501 11684456123890 14021347348668 17526684185835 19120019111820 21032021023002 23368912247780 35053368371670 42064042046004 52580052557505 70106736743340 105160105115010 210320210230020