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131211022220001 = 3214579002468889
BaseRepresentation
bin11101110101010111110010…
…010111101011101011100001
3122012120122120201222012002200
4131311113302113223223201
5114144230133142020001
61143021302251003413
736431453306553633
oct3565276227535341
9565518521865080
10131211022220001
1138898311419349
12128716a9a39569
13582a1b9577259
14245890c4dca53
151028176c62086
hex7755f25ebae1

131211022220001 has 6 divisors (see below), whose sum is σ = 189527032095570. Its totient is φ = 87474014813328.

The previous prime is 131211022219999. The next prime is 131211022220011. The reversal of 131211022220001 is 100022220112131.

131211022220001 is a `hidden beast` number, since 1 + 31 + 211 + 0 + 222 + 200 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126319953816225 + 4891068403776 = 11239215^2 + 2211576^2 .

It is not a de Polignac number, because 131211022220001 - 21 = 131211022219999 is a prime.

It is a super-5 number, since 5×1312110222200015 (a number of 72 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (131211022220011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7289501234436 + ... + 7289501234453.

It is an arithmetic number, because the mean of its divisors is an integer number (31587838682595).

Almost surely, 2131211022220001 is an apocalyptic number.

It is an amenable number.

131211022220001 is a deficient number, since it is larger than the sum of its proper divisors (58316009875569).

131211022220001 is a wasteful number, since it uses less digits than its factorization.

131211022220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14579002468895 (or 14579002468892 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131211022220001 its reverse (100022220112131), we get a palindrome (231233242332132).

The spelling of 131211022220001 in words is "one hundred thirty-one trillion, two hundred eleven billion, twenty-two million, two hundred twenty thousand, one".

Divisors: 1 3 9 14579002468889 43737007406667 131211022220001