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20401122829 is a prime number
BaseRepresentation
bin10011000000000000…
…000110111000001101
31221122210022102022211
4103000000012320031
5313240141412304
613212214510421
71321362453133
oct230000067015
957583272284
1020401122829
1187199a159a
123b54365411
131c01820319
14db769d753
157e60a2204
hex4c0006e0d

20401122829 has 2 divisors, whose sum is σ = 20401122830. Its totient is φ = 20401122828.

The previous prime is 20401122827. The next prime is 20401122839. The reversal of 20401122829 is 92822110402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15949164100 + 4451958729 = 126290^2 + 66723^2 .

It is a cyclic number.

It is not a de Polignac number, because 20401122829 - 21 = 20401122827 is a prime.

Together with 20401122827, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 20401122829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20401122823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10200561414 + 10200561415.

It is an arithmetic number, because the mean of its divisors is an integer number (10200561415).

Almost surely, 220401122829 is an apocalyptic number.

It is an amenable number.

20401122829 is a deficient number, since it is larger than the sum of its proper divisors (1).

20401122829 is an equidigital number, since it uses as much as digits as its factorization.

20401122829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 20401122829 in words is "twenty billion, four hundred one million, one hundred twenty-two thousand, eight hundred twenty-nine".