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2202011332020 = 2233519325578263
BaseRepresentation
bin100000000010110010000…
…110100110110110110100
321210111202221210210022000
4200002302012212312310
5242034204400111040
64403331240535300
7315042615331563
oct40026206466664
97714687723260
102202011332020
1177995aa99555
122b6921181530
1312c858497826
1478813b39bda
153c42cd02130
hex200b21a6db4

2202011332020 has 192 divisors, whose sum is σ = 6889724567040. Its totient is φ = 583861395456.

The previous prime is 2202011331977. The next prime is 2202011332057. The reversal of 2202011332020 is 202331102022.

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

It is a junction number, because it is equal to n+sod(n) for n = 2202011331984 and 2202011332002.

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 63 ways as a sum of consecutive naturals, for example, 266486409 + ... + 266494671.

It is an arithmetic number, because the mean of its divisors is an integer number (35883982120).

Almost surely, 22202011332020 is an apocalyptic number.

2202011332020 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 2202011332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444862283520).

2202011332020 is an abundant number, since it is smaller than the sum of its proper divisors (4687713235020).

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

2202011332020 is a wasteful number, since it uses less digits than its factorization.

2202011332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11031 (or 11023 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2202011332020 its reverse (202331102022), we get a palindrome (2404342434042).

The spelling of 2202011332020 in words is "two trillion, two hundred two billion, eleven million, three hundred thirty-two thousand, twenty".