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223230131313213 = 33732571272148539
BaseRepresentation
bin110010110000011011010000…
…101011100001101000111101
31002021101120222200000211102010
4302300123100223201220331
5213224400302104010323
62110434301231521433
765006562516436653
oct6260332053415075
91067346880024363
10223230131313213
116514540458a902
12210535b3389279
139773684a4219b
143d1a5788c6dd3
151ac1adc004c93
hexcb06d0ae1a3d

223230131313213 has 32 divisors (see below), whose sum is σ = 305808696190080. Its totient is φ = 144739104491520.

The previous prime is 223230131313199. The next prime is 223230131313229. The reversal of 223230131313213 is 312313131032322.

It is not a de Polignac number, because 223230131313213 - 29 = 223230131312701 is a prime.

It is a super-3 number, since 3×2232301313132133 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223230131317213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4598960698 + ... + 4599009236.

It is an arithmetic number, because the mean of its divisors is an integer number (9556521755940).

Almost surely, 2223230131313213 is an apocalyptic number.

It is an amenable number.

223230131313213 is a deficient number, since it is larger than the sum of its proper divisors (82578564876867).

223230131313213 is a wasteful number, since it uses less digits than its factorization.

223230131313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64557.

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 223230131313213 its reverse (312313131032322), we get a palindrome (535543262345535).

The spelling of 223230131313213 in words is "two hundred twenty-three trillion, two hundred thirty billion, one hundred thirty-one million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 37 111 3257 9771 12721 38163 48539 120509 145617 361527 470677 1412031 1795943 5387829 41432297 124296891 158091523 474274569 617464619 1532994989 1852393857 4598984967 5849386351 17548159053 22846190903 68538572709 2011082264083 6033246792249 74410043771071 223230131313213