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20117625632441 is a prime number
BaseRepresentation
bin1001001001011111111111…
…11011011111011010111001
32122020020002220211202011222
410210233333323133122321
510114101344130214231
6110441524251401425
74144310342265611
oct444577773373271
978206086752158
1020117625632441
116456923227717
12230ab20153275
13b2c1125b848c
144d79ac0d7a41
1524d48b67a27b
hex124bffedf6b9

20117625632441 has 2 divisors, whose sum is σ = 20117625632442. Its totient is φ = 20117625632440.

The previous prime is 20117625632417. The next prime is 20117625632443. The reversal of 20117625632441 is 14423652671102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17865161958400 + 2252463674041 = 4226720^2 + 1500821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20117625632441 is a prime.

It is a super-2 number, since 2×201176256324412 (a number of 27 digits) contains 22 as substring.

Together with 20117625632443, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 20117625632392 and 20117625632401.

It is not a weakly prime, because it can be changed into another prime (20117625632443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10058812816220 + 10058812816221.

It is an arithmetic number, because the mean of its divisors is an integer number (10058812816221).

Almost surely, 220117625632441 is an apocalyptic number.

It is an amenable number.

20117625632441 is a deficient number, since it is larger than the sum of its proper divisors (1).

20117625632441 is an equidigital number, since it uses as much as digits as its factorization.

20117625632441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 20117625632441 in words is "twenty trillion, one hundred seventeen billion, six hundred twenty-five million, six hundred thirty-two thousand, four hundred forty-one".