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132202211301 = 32120731216693
BaseRepresentation
bin111101100011111011…
…1011010011111100101
3110122020101210011121100
41323013313122133211
54131222231230201
6140422144110313
712360044153316
oct1730767323745
9418211704540
10132202211301
115108077a076
1221756305399
13c60b1cb844
146581b6060d
15368b36a886
hex1ec7dda7e5

132202211301 has 12 divisors (see below), whose sum is σ = 190974723628. Its totient is φ = 88127434944.

The previous prime is 132202211233. The next prime is 132202211363. The reversal of 132202211301 is 103112202231.

132202211301 is a `hidden beast` number, since 132 + 20 + 2 + 211 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11577975201 + 120624236100 = 107601^2 + 347310^2 .

It is not a de Polignac number, because 132202211301 - 211 = 132202209253 is a prime.

It is a super-2 number, since 2×1322022113012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132202211371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499690 + ... + 717003.

Almost surely, 2132202211301 is an apocalyptic number.

It is an amenable number.

132202211301 is a deficient number, since it is larger than the sum of its proper divisors (58772512327).

132202211301 is a wasteful number, since it uses less digits than its factorization.

132202211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228772 (or 1228769 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132202211301 its reverse (103112202231), we get a palindrome (235314413532).

The spelling of 132202211301 in words is "one hundred thirty-two billion, two hundred two million, two hundred eleven thousand, three hundred one".

Divisors: 1 3 9 12073 36219 108657 1216693 3650079 10950237 14689134589 44067403767 132202211301