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222311212003020 = 2235719743310336007
BaseRepresentation
bin110010100011000011011100…
…110100100010111011001100
31002011010202002121020012122110
4302203003130310202323030
5213114321330233044040
62104452205541544020
764553312035251450
oct6243033464427314
91064122077205573
10222311212003020
1164920723597268
1220b2549b115010
139707b1b75a99a
143cc7cc496c660
151aa7c58a7b980
hexca30dcd22ecc

222311212003020 has 384 divisors, whose sum is σ = 717471494885376. Its totient is φ = 50382078050304.

The previous prime is 222311212003019. The next prime is 222311212003033. The reversal of 222311212003020 is 20300212113222.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 37008688857 + ... + 37008694863.

It is an arithmetic number, because the mean of its divisors is an integer number (1868415351264).

Almost surely, 2222311212003020 is an apocalyptic number.

222311212003020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222311212003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358735747442688).

222311212003020 is an abundant number, since it is smaller than the sum of its proper divisors (495160282882356).

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

222311212003020 is a wasteful number, since it uses less digits than its factorization.

222311212003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 222311212003020 its reverse (20300212113222), we get a palindrome (242611424116242).

The spelling of 222311212003020 in words is "two hundred twenty-two trillion, three hundred eleven billion, two hundred twelve million, three thousand, twenty".