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223211273211342 = 23213953894329963
BaseRepresentation
bin110010110000001001101100…
…101001100100110111001110
31002021022210022102011222220200
4302300021230221210313032
5213224043141420230332
62110421502053154330
765005324301301063
oct6260115451446716
91067283272158820
10223211273211342
1165138407692849
122104ba0b92b9a6
13977196aac7a20
143d196aa128c6a
151ac138664917c
hexcb026ca64dce

223211273211342 has 24 divisors (see below), whose sum is σ = 520826304160344. Its totient is φ = 68680391757264.

The previous prime is 223211273211341. The next prime is 223211273211371. The reversal of 223211273211342 is 243112372112322.

223211273211342 is a `hidden beast` number, since 2 + 2 + 3 + 21 + 1 + 273 + 21 + 1 + 342 = 666.

It is a super-3 number, since 3×2232112732113423 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223211273211297 and 223211273211306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223211273211341) 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 11 ways as a sum of consecutive naturals, for example, 476947164748 + ... + 476947165215.

It is an arithmetic number, because the mean of its divisors is an integer number (21701096006681).

Almost surely, 2223211273211342 is an apocalyptic number.

223211273211342 is an abundant number, since it is smaller than the sum of its proper divisors (297615030949002).

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

223211273211342 is a wasteful number, since it uses less digits than its factorization.

223211273211342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953894329984 (or 953894329981 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 223211273211342 in words is "two hundred twenty-three trillion, two hundred eleven billion, two hundred seventy-three million, two hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 953894329963 1907788659926 2861682989889 5723365979778 8585048969667 12400626289519 17170097939334 24801252579038 37201878868557 74403757737114 111605636605671 223211273211342