Search a number
-
+
212313310020 = 223257619727191
BaseRepresentation
bin1100010110111011011…
…1000000001101000100
3202022000110221122101200
43011232313000031010
511434304201410040
6241311351022500
721224215234020
oct3055667001504
9668013848350
10212313310020
1182050368279
123519336aa30
1317037361b36
14a3c1579380
1557c9482630
hex316edc0344

212313310020 has 144 divisors (see below), whose sum is σ = 736165317888. Its totient is φ = 48519141120.

The previous prime is 212313309973. The next prime is 212313310031. The reversal of 212313310020 is 20013313212.

212313310020 is a `hidden beast` number, since 21 + 2 + 313 + 310 + 0 + 20 = 666.

It is a super-2 number, since 2×2123133100202 (a number of 23 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 = 212313309975 and 212313310002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7794625 + ... + 7821815.

It is an arithmetic number, because the mean of its divisors is an integer number (5112259152).

Almost surely, 2212313310020 is an apocalyptic number.

212313310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212313310020 is an abundant number, since it is smaller than the sum of its proper divisors (523852007868).

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

212313310020 is a wasteful number, since it uses less digits than its factorization.

212313310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33410 (or 33405 counting only the distinct ones).

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

Adding to 212313310020 its reverse (20013313212), we get a palindrome (232326623232).

The spelling of 212313310020 in words is "two hundred twelve billion, three hundred thirteen million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 6197 12394 18591 24788 27191 30985 37182 43379 54382 55773 61970 74364 81573 86758 92955 108764 111546 123940 130137 135955 163146 173516 185910 190337 216895 223092 244719 260274 271910 278865 326292 371820 380674 390411 407865 433790 489438 520548 543820 557730 571011 650685 761348 780822 815730 867580 951685 978876 1115460 1142022 1223595 1301370 1561644 1631460 1713033 1903370 1952055 2284044 2447190 2602740 2855055 3426066 3806740 3904110 4894380 5710110 6852132 7808220 8565165 11420220 17130330 34260660 168502627 337005254 505507881 674010508 842513135 1011015762 1179518389 1516523643 1685026270 2022031524 2359036778 2527539405 3033047286 3370052540 3538555167 4718073556 5055078810 5897591945 6066094572 7077110334 7582618215 10110157620 10615665501 11795183890 14154220668 15165236430 17692775835 21231331002 23590367780 30330472860 35385551670 42462662004 53078327505 70771103340 106156655010 212313310020