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1020201232320 = 263253371051147
BaseRepresentation
bin11101101100010001011…
…10110110011111000000
310121112022120121100120200
432312020232312133000
5113203333003413240
62100401325005200
7133464352252044
oct16661056663700
93545276540520
101020201232320
11363734aa9816
1214587b3b3800
137528756c64a
1437541352024
151b80eed1930
hexed88bb67c0

1020201232320 has 168 divisors, whose sum is σ = 3519483165744. Its totient is φ = 271246123008.

The previous prime is 1020201232313. The next prime is 1020201232321. The reversal of 1020201232320 is 232321020201.

It is a super-3 number, since 3×10202012323203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 1020201232293 and 1020201232302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020201232321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444987 + ... + 1496133.

It is an arithmetic number, because the mean of its divisors is an integer number (20949304558).

Almost surely, 21020201232320 is an apocalyptic number.

1020201232320 is a gapful number since it is divisible by the number (10) 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 1020201232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759741582872).

1020201232320 is an abundant number, since it is smaller than the sum of its proper divisors (2499281933424).

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

1020201232320 is a wasteful number, since it uses less digits than its factorization.

1020201232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051507 (or 1051494 counting only the distinct ones).

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

Adding to 1020201232320 its reverse (232321020201), we get a palindrome (1252522252521).

It can be divided in two parts, 1020201 and 232320, that added together give a palindrome (1252521).

The spelling of 1020201232320 in words is "one trillion, twenty billion, two hundred one million, two hundred thirty-two thousand, three hundred twenty".