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20000122021013 is a prime number
BaseRepresentation
bin1001000110000101001000…
…01010110010010010010101
32121210222210220001211000112
410203002210022302102111
510110140222214133023
6110311532413252405
74132650445131161
oct443024412622225
977728726054015
1020000122021013
11641100552a252
1222b01a8494105
13b21007667814
144d2022541ca1
1524a3b093a478
hex1230a42b2495

20000122021013 has 2 divisors, whose sum is σ = 20000122021014. Its totient is φ = 20000122021012.

The previous prime is 20000122020979. The next prime is 20000122021043. The reversal of 20000122021013 is 31012022100002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10049870043409 + 9950251977604 = 3170153^2 + 3154402^2 .

It is a cyclic number.

It is not a de Polignac number, because 20000122021013 - 210 = 20000122019989 is a prime.

It is a super-2 number, since 2×200001220210132 (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 (20000122021043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10000061010506 + 10000061010507.

It is an arithmetic number, because the mean of its divisors is an integer number (10000061010507).

Almost surely, 220000122021013 is an apocalyptic number.

It is an amenable number.

20000122021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20000122021013 is an equidigital number, since it uses as much as digits as its factorization.

20000122021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20000122021013 its reverse (31012022100002), we get a palindrome (51012144121015).

The spelling of 20000122021013 in words is "twenty trillion, one hundred twenty-two million, twenty-one thousand, thirteen".