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213113301232 = 24137135574057
BaseRepresentation
bin1100011001111010001…
…0101110100011110000
3202101002020021102000211
43012132202232203300
511442424001114412
6241523005353504
721253101112636
oct3063642564360
9671066242024
10213113301232
11824209a2537
1235377268894
1317134010a10
14a459901356
155824806ca7
hex319e8ae8f0

213113301232 has 80 divisors (see below), whose sum is σ = 451169998272. Its totient is φ = 96923473920.

The previous prime is 213113301223. The next prime is 213113301263. The reversal of 213113301232 is 232103311312.

213113301232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52527748 + ... + 52531804.

Almost surely, 2213113301232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213113301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225584999136).

213113301232 is an abundant number, since it is smaller than the sum of its proper divisors (238056697040).

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

213113301232 is a wasteful number, since it uses less digits than its factorization.

213113301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7700 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 213113301232 its reverse (232103311312), we get a palindrome (445216612544).

The spelling of 213113301232 in words is "two hundred thirteen billion, one hundred thirteen million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 923 1136 1846 3557 3692 4057 7114 7384 8114 14228 14768 16228 28456 32456 46241 52741 56912 64912 92482 105482 184964 210964 252547 288047 369928 421928 505094 576094 739856 843856 1010188 1152188 2020376 2304376 3283111 3744611 4040752 4608752 6566222 7489222 13132444 14430749 14978444 26264888 28861498 29956888 52529776 57722996 59913776 115445992 187599737 230891984 375199474 750398948 1024583179 1500797896 2049166358 3001595792 4098332716 8196665432 13319581327 16393330864 26639162654 53278325308 106556650616 213113301232