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20121055001381 is a prime number
BaseRepresentation
bin1001001001100110011000…
…10101011111101100100101
32122020112221220210201222102
410210303030111133230211
510114130410040021011
6110443252434541445
74144461333403025
oct444631425375445
978215856721872
1020121055001381
116458322aa2324
12230b718737885
13b2c53ac24c79
144d7c1574ba85
1524d5dc78473b
hex124ccc55fb25

20121055001381 has 2 divisors, whose sum is σ = 20121055001382. Its totient is φ = 20121055001380.

The previous prime is 20121055001233. The next prime is 20121055001389. The reversal of 20121055001381 is 18310055012102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19126986180481 + 994068820900 = 4373441^2 + 997030^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121055001381 - 234 = 20103875132197 is a prime.

It is a super-2 number, since 2×201210550013812 (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 (20121055001389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060527500690 + 10060527500691.

It is an arithmetic number, because the mean of its divisors is an integer number (10060527500691).

Almost surely, 220121055001381 is an apocalyptic number.

It is an amenable number.

20121055001381 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121055001381 is an equidigital number, since it uses as much as digits as its factorization.

20121055001381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 29.

The spelling of 20121055001381 in words is "twenty trillion, one hundred twenty-one billion, fifty-five million, one thousand, three hundred eighty-one".