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223212332301213 = 31734768318467063
BaseRepresentation
bin110010110000001010101011…
…110001101011101110011101
31002021022220001020001100002110
4302300022223301223232131
5213224102324032114323
62110422155125144233
765005362451355463
oct6260125361535635
91067286036040073
10223212332301213
11651389004a5732
122105006655b079
139771aa9353818
143d1976aa58833
151ac13e95ed793
hexcb02abc6bb9d

223212332301213 has 32 divisors (see below), whose sum is σ = 316494156819456. Its totient is φ = 139446705736448.

The previous prime is 223212332301199. The next prime is 223212332301221. The reversal of 223212332301213 is 312103233212322.

It is a cyclic number.

It is not a de Polignac number, because 223212332301213 - 29 = 223212332300701 is a prime.

It is a super-3 number, since 3×2232123323012133 (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 (223212332301713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2853520 + ... + 21320582.

It is an arithmetic number, because the mean of its divisors is an integer number (9890442400608).

Almost surely, 2223212332301213 is an apocalyptic number.

It is an amenable number.

223212332301213 is a deficient number, since it is larger than the sum of its proper divisors (93281824518243).

223212332301213 is a wasteful number, since it uses less digits than its factorization.

223212332301213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18468113.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 223212332301213 its reverse (312103233212322), we get a palindrome (535315565513535).

The spelling of 223212332301213 in words is "two hundred twenty-three trillion, two hundred twelve billion, three hundred thirty-two million, three hundred one thousand, two hundred thirteen".

Divisors: 1 3 17 51 347 683 1041 2049 5899 11611 17697 34833 237001 711003 4029017 12087051 18467063 55401189 313940071 941820213 6408070861 12613004029 19224212583 37839012087 108937204637 214421068493 326811613911 643263205479 4376712398063 13130137194189 74404110767071 223212332301213