Search a number
-
+
210002013212320 = 2557231864063583
BaseRepresentation
bin101111101111111011100111…
…011001100100111010100000
31000112112222220101002002112001
4233233323213121210322200
5210011133110340243240
62022345332032413344
762143100441002600
oct5757734731447240
91015488811062461
10210002013212320
1160a053987985aa
121b6779693a7254
1390241495394a4
1439c021a28ac00
15194297ab0489a
hexbefee7664ea0

210002013212320 has 144 divisors (see below), whose sum is σ = 595747647387648. Its totient is φ = 69678087252480.

The previous prime is 210002013212273. The next prime is 210002013212323. The reversal of 210002013212320 is 23212310200012.

It is not an unprimeable number, because it can be changed into a prime (210002013212323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431788752 + ... + 432274831.

It is an arithmetic number, because the mean of its divisors is an integer number (4137136440192).

Almost surely, 2210002013212320 is an apocalyptic number.

210002013212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210002013212320 is an abundant number, since it is smaller than the sum of its proper divisors (385745634175328).

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

210002013212320 is a wasteful number, since it uses less digits than its factorization.

210002013212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864063643 (or 864063628 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 210002013212320 its reverse (23212310200012), we get a palindrome (233214323412332).

The spelling of 210002013212320 in words is "two hundred ten trillion, two billion, thirteen million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 70 80 98 112 124 140 155 160 196 217 224 245 248 280 310 392 434 490 496 560 620 784 868 980 992 1085 1120 1240 1519 1568 1736 1960 2170 2480 3038 3472 3920 4340 4960 6076 6944 7595 7840 8680 12152 15190 17360 24304 30380 34720 48608 60760 121520 243040 864063583 1728127166 3456254332 4320317915 6048445081 6912508664 8640635830 12096890162 13825017328 17281271660 24193780324 26785971073 27650034656 30242225405 34562543320 42339115567 48387560648 53571942146 60484450810 69125086640 84678231134 96775121296 107143884292 120968901620 133929855365 138250173280 169356462268 187501797511 193550242592 211695577835 214287768584 241937803240 267859710730 338712924536 375003595022 423391155670 428575537168 483875606480 535719421460 677425849072 750007190044 846782311340 857151074336 937508987555 967751212960 1071438842920 1312512582577 1354851698144 1500014380088 1693564622680 1875017975110 2142877685840 2625025165154 3000028760176 3387129245360 3750035950220 4285755371680 5250050330308 6000057520352 6562562912885 6774258490720 7500071900440 10500100660616 13125125825770 15000143800880 21000201321232 26250251651540 30000287601760 42000402642464 52500503303080 105001006606160 210002013212320