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2022001101120 = 2635711132104147
BaseRepresentation
bin11101011011001000101…
…010000100100101000000
321011022010201210120220010
4131123020222010211000
5231112024240213440
64144521112544520
7266041033531020
oct35331052044500
97138121716803
102022001101120
1170a5869a9790
12287a640b2140
1311889b6b05c0
146dc18839a80
15378e4777580
hex1d6c8a84940

2022001101120 has 448 divisors, whose sum is σ = 8619667531776. Its totient is φ = 387836190720.

The previous prime is 2022001101083. The next prime is 2022001101137. The reversal of 2022001101120 is 211011002202.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2022001101096 and 2022001101105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91114 + ... + 2013033.

It is an arithmetic number, because the mean of its divisors is an integer number (19240329312).

Almost surely, 22022001101120 is an apocalyptic number.

2022001101120 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 2022001101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309833765888).

2022001101120 is an abundant number, since it is smaller than the sum of its proper divisors (6597666430656).

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

2022001101120 is a wasteful number, since it uses less digits than its factorization.

2022001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104198 (or 2104188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2022001101120 its reverse (211011002202), we get a palindrome (2233012103322).

The spelling of 2022001101120 in words is "two trillion, twenty-two billion, one million, one hundred one thousand, one hundred twenty".