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213012032220 = 2232513412220263
BaseRepresentation
bin1100011001100010000…
…0011010101011011100
3202100211011201102001200
43012120200122223130
511442222040012340
6241504551035500
721250431254001
oct3063040325334
9670734642050
10213012032220
1182379814639
123534936bb90
1317119044720
14a44a29d8a8
15581a9a1330
hex319881aadc

213012032220 has 144 divisors (see below), whose sum is σ = 712811316672. Its totient is φ = 51154836480.

The previous prime is 213012032203. The next prime is 213012032227. The reversal of 213012032220 is 22230210312.

213012032220 is a `hidden beast` number, since 2 + 1 + 301 + 20 + 322 + 20 = 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 = 213012032193 and 213012032202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213012032227) by changing a digit.

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, 1014192 + ... + 1206071.

It is an arithmetic number, because the mean of its divisors is an integer number (4950078588).

Almost surely, 2213012032220 is an apocalyptic number.

213012032220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213012032220 is an abundant number, since it is smaller than the sum of its proper divisors (499799284452).

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

213012032220 is a wasteful number, since it uses less digits than its factorization.

213012032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220332 (or 2220327 counting only the distinct ones).

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

Adding to 213012032220 its reverse (22230210312), we get a palindrome (235242242532).

The spelling of 213012032220 in words is "two hundred thirteen billion, twelve million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 234 246 260 369 390 410 468 492 533 585 615 738 780 820 1066 1170 1230 1476 1599 1845 2132 2340 2460 2665 3198 3690 4797 5330 6396 7380 7995 9594 10660 15990 19188 23985 31980 47970 95940 2220263 4440526 6660789 8881052 11101315 13321578 19982367 22202630 26643156 28863419 33303945 39964734 44405260 57726838 66607890 79929468 86590257 91030783 99911835 115453676 133215780 144317095 173180514 182061566 199823670 259770771 273092349 288634190 346361028 364123132 399647340 432951285 455153915 519541542 546184698 577268380 819277047 865902570 910307830 1039083084 1092369396 1183400179 1298853855 1365461745 1638554094 1731805140 1820615660 2366800358 2597707710 2730923490 3277108188 3550200537 4096385235 4733600716 5195415420 5461846980 5917000895 7100401074 8192770470 10650601611 11834001790 14200802148 16385540940 17751002685 21301203222 23668003580 35502005370 42602406444 53253008055 71004010740 106506016110 213012032220