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223002132101112 = 2337131731443437363
BaseRepresentation
bin110010101101000110111010…
…110111100011011111111000
31002020120210111000021210120010
4302231012322313203133320
5213212131331304213422
62110141433141301520
764654241502216660
oct6255067267433770
91066523430253503
10223002132101112
1165067744a101a1
1221017382a048a0
13975801aa1cab0
143d0d509dbd1a0
151ababe5922b0c
hexcad1bade37f8

223002132101112 has 512 divisors, whose sum is σ = 751653630443520. Its totient is φ = 53447455825920.

The previous prime is 223002132101093. The next prime is 223002132101117. The reversal of 223002132101112 is 211101231200322.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223002132101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509660143 + ... + 510097505.

It is an arithmetic number, because the mean of its divisors is an integer number (1468073496960).

Almost surely, 2223002132101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223002132101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375826815221760).

223002132101112 is an abundant number, since it is smaller than the sum of its proper divisors (528651498342408).

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

223002132101112 is a wasteful number, since it uses less digits than its factorization.

223002132101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437883 (or 437879 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 223002132101112 its reverse (211101231200322), we get a palindrome (434103363301434).

The spelling of 223002132101112 in words is "two hundred twenty-three trillion, two billion, one hundred thirty-two million, one hundred one thousand, one hundred twelve".