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20213132301 = 3237113537169
BaseRepresentation
bin10010110100110010…
…111110110000001101
31221011200120111210200
4102310302332300031
5312344030213201
613141421324113
71313620534605
oct226462766015
957150514720
1020213132301
11863287151a
123b01406639
131ba18ac41b
14d9a725c05
157d481b386
hex4b4cbec0d

20213132301 has 24 divisors (see below), whose sum is σ = 30251265720. Its totient is φ = 12995168256.

The previous prime is 20213132267. The next prime is 20213132321. The reversal of 20213132301 is 10323131202.

20213132301 is a `hidden beast` number, since 20 + 213 + 132 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4625360100 + 15587772201 = 68010^2 + 124851^2 .

It is not a de Polignac number, because 20213132301 - 29 = 20213131789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213132321) 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, 230956 + ... + 306213.

It is an arithmetic number, because the mean of its divisors is an integer number (1260469405).

Almost surely, 220213132301 is an apocalyptic number.

It is an amenable number.

20213132301 is a deficient number, since it is larger than the sum of its proper divisors (10038133419).

20213132301 is a wasteful number, since it uses less digits than its factorization.

20213132301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537325 (or 537322 counting only the distinct ones).

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

Adding to 20213132301 its reverse (10323131202), we get a palindrome (30536263503).

It can be divided in two parts, 202131 and 32301, that added together give a palindrome (234432).

The spelling of 20213132301 in words is "twenty billion, two hundred thirteen million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 3 9 37 111 113 333 339 1017 4181 12543 37629 537169 1611507 4834521 19875253 59625759 60700097 178877277 182100291 546300873 2245903589 6737710767 20213132301