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223141335011430 = 2351123107449611939
BaseRepresentation
bin110010101111001000100100…
…000000100001000001100110
31002021002002210022010022211020
4302233020210000201001212
5213221421423230331210
62110325414130552010
765000300204353443
oct6257104400410146
91067062708108736
10223141335011430
1165110788371030
122103a351738606
1397681a340a794
143d161537dc9ca
151abe641694770
hexcaf224021066

223141335011430 has 256 divisors, whose sum is σ = 616694529024000. Its totient is φ = 51145092669440.

The previous prime is 223141335011393. The next prime is 223141335011461. The reversal of 223141335011430 is 34110533141322.

It is a super-3 number, since 3×2231413350114303 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 223141335011391 and 223141335011400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 364340401 + ... + 364952339.

It is an arithmetic number, because the mean of its divisors is an integer number (2408963004000).

Almost surely, 2223141335011430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223141335011430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308347264512000).

223141335011430 is an abundant number, since it is smaller than the sum of its proper divisors (393553194012570).

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

223141335011430 is a wasteful number, since it uses less digits than its factorization.

223141335011430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612539.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 223141335011430 its reverse (34110533141322), we get a palindrome (257251868152752).

The spelling of 223141335011430 in words is "two hundred twenty-three trillion, one hundred forty-one billion, three hundred thirty-five million, eleven thousand, four hundred thirty".