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20401114214029 is a prime number
BaseRepresentation
bin1001010001110000000010…
…01010100110111010001101
32200020022211201121210221211
410220320001022212322031
510133222440214322104
6111220050435454421
74203634425416203
oct450700112467215
980208751553854
1020401114214029
11655607813297a
122355a57a57411
13b4ca8070b703
145075c23bd073
15255a2e4c1e04
hex128e012a6e8d

20401114214029 has 2 divisors, whose sum is σ = 20401114214030. Its totient is φ = 20401114214028.

The previous prime is 20401114213993. The next prime is 20401114214141. The reversal of 20401114214029 is 92041241110402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16334934722500 + 4066179491529 = 4041650^2 + 2016477^2 .

It is a cyclic number.

It is not a de Polignac number, because 20401114214029 - 27 = 20401114213901 is a prime.

It is a super-2 number, since 2×204011142140292 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20401114214729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10200557107014 + 10200557107015.

It is an arithmetic number, because the mean of its divisors is an integer number (10200557107015).

Almost surely, 220401114214029 is an apocalyptic number.

It is an amenable number.

20401114214029 is a deficient number, since it is larger than the sum of its proper divisors (1).

20401114214029 is an equidigital number, since it uses as much as digits as its factorization.

20401114214029 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 20401114214029 in words is "twenty trillion, four hundred one billion, one hundred fourteen million, two hundred fourteen thousand, twenty-nine".