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223131141131322 = 23101368203203187
BaseRepresentation
bin110010101110111111000100…
…011001111100110000111010
31002021001010110212112120012010
4302232333010121330300322
5213221240034112200242
62110321010420430350
764666456453663404
oct6256770431746072
91067033425476163
10223131141131322
1165107427174026
12210383878483b6
13976723a4c9768
143d15867a0bb74
151abe24678a89c
hexcaefc467cc3a

223131141131322 has 16 divisors (see below), whose sum is σ = 450680720702112. Its totient is φ = 73640640637200.

The previous prime is 223131141131279. The next prime is 223131141131329.

223131141131322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2231311411313223 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223131141131322.

It is not an unprimeable number, because it can be changed into a prime (223131141131329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184101600988 + ... + 184101602199.

It is an arithmetic number, because the mean of its divisors is an integer number (28167545043882).

Almost surely, 2223131141131322 is an apocalyptic number.

223131141131322 is an abundant number, since it is smaller than the sum of its proper divisors (227549579570790).

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

223131141131322 is a wasteful number, since it uses less digits than its factorization.

223131141131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368203203293.

The product of its digits is 5184, while the sum is 30.

The spelling of 223131141131322 in words is "two hundred twenty-three trillion, one hundred thirty-one billion, one hundred forty-one million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 101 202 303 606 368203203187 736406406374 1104609609561 2209219219122 37188523521887 74377047043774 111565570565661 223131141131322