Search a number
-
+
213310132320 = 2535523784857
BaseRepresentation
bin1100011010101001000…
…1100101000001100000
3202101120221122110112010
43012222101211001200
511443324343213240
6241554320232520
721261011131335
oct3065221450140
9671527573463
10213310132320
118251201065a
123541116b740
1317165a2880c
14a477ada98c
155836c37280
hex31aa465060

213310132320 has 96 divisors (see below), whose sum is σ = 672063140448. Its totient is φ = 56871170048.

The previous prime is 213310132283. The next prime is 213310132393. The reversal of 213310132320 is 23231013312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2471332 + ... + 2556188.

It is an arithmetic number, because the mean of its divisors is an integer number (7000657713).

Almost surely, 2213310132320 is an apocalyptic number.

213310132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213310132320 is an abundant number, since it is smaller than the sum of its proper divisors (458753008128).

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

213310132320 is a wasteful number, since it uses less digits than its factorization.

213310132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90112 (or 90104 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213310132320 its reverse (23231013312), we get a palindrome (236541145632).

The spelling of 213310132320 in words is "two hundred thirteen billion, three hundred ten million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5237 10474 15711 20948 26185 31422 41896 52370 62844 78555 83792 84857 104740 125688 157110 167584 169714 209480 251376 254571 314220 339428 418960 424285 502752 509142 628440 678856 837920 848570 1018284 1256880 1272855 1357712 1697140 2036568 2513760 2545710 2715424 3394280 4073136 5091420 6788560 8146272 10182840 13577120 20365680 40731360 444396109 888792218 1333188327 1777584436 2221980545 2666376654 3555168872 4443961090 5332753308 6665941635 7110337744 8887922180 10665506616 13331883270 14220675488 17775844360 21331013232 26663766540 35551688720 42662026464 53327533080 71103377440 106655066160 213310132320