Search a number
-
+
212030131320 = 23325784138941
BaseRepresentation
bin1100010101110111111…
…0110000110001111000
3202021021202002200020200
43011131332300301320
511433214203200240
6241223313322200
721214206244110
oct3053576606170
9667252080220
10212030131320
1181a15532997
1235114566360
1316cc07a3687
14a395b04040
1557ae697930
hex315dfb0c78

212030131320 has 96 divisors (see below), whose sum is σ = 787540497120. Its totient is φ = 48464029440.

The previous prime is 212030131319. The next prime is 212030131333. The reversal of 212030131320 is 23131030212.

212030131320 is a `hidden beast` number, since 2 + 12 + 0 + 301 + 31 + 320 = 666.

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 = 212030131293 and 212030131302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42066951 + ... + 42071990.

It is an arithmetic number, because the mean of its divisors is an integer number (8203546845).

Almost surely, 2212030131320 is an apocalyptic number.

212030131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212030131320 is an abundant number, since it is smaller than the sum of its proper divisors (575510365800).

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

212030131320 is a wasteful number, since it uses less digits than its factorization.

212030131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84138965 (or 84138958 counting only the distinct ones).

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

Adding to 212030131320 its reverse (23131030212), we get a palindrome (235161161532).

The spelling of 212030131320 in words is "two hundred twelve billion, thirty million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 84138941 168277882 252416823 336555764 420694705 504833646 588972587 673111528 757250469 841389410 1009667292 1177945174 1262084115 1514500938 1682778820 1766917761 2019334584 2355890348 2524168230 2944862935 3029001876 3365557640 3533835522 3786252345 4711780696 5048336460 5300753283 5889725870 6058003752 7067671044 7572504690 8834588805 10096672920 10601506566 11779451740 14135342088 15145009380 17669177610 21203013132 23558903480 26503766415 30290018760 35338355220 42406026264 53007532830 70676710440 106015065660 212030131320