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2021130001332 = 22331319101750157
BaseRepresentation
bin11101011010010100101…
…111000101101110110100
321011012220000200010122000
4131122110233011232310
5231103233240020312
64144254434135300
7266010325360341
oct35322457055664
97135800603560
102021130001332
1170a17a216602
12287860421530
13118790095440
146db74c837c8
1537893058adc
hex1d694bc5bb4

2021130001332 has 192 divisors, whose sum is σ = 5998863494400. Its totient is φ = 583321305600.

The previous prime is 2021130001307. The next prime is 2021130001337. The reversal of 2021130001332 is 2331000311202.

2021130001332 is a `hidden beast` number, since 20 + 2 + 11 + 300 + 0 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021130001337) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2319198 + ... + 3069354.

It is an arithmetic number, because the mean of its divisors is an integer number (31244080700).

Almost surely, 22021130001332 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 2021130001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999431747200).

2021130001332 is an abundant number, since it is smaller than the sum of its proper divisors (3977733493068).

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

2021130001332 is a wasteful number, since it uses less digits than its factorization.

2021130001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750303 (or 750295 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2021130001332 its reverse (2331000311202), we get a palindrome (4352130312534).

The spelling of 2021130001332 in words is "two trillion, twenty-one billion, one hundred thirty million, one thousand, three hundred thirty-two".