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1020093656441 is a prime number
BaseRepresentation
bin11101101100000100101…
…00011110110101111001
310121112001002011221012212
432312002110132311321
5113203122434001231
62100342523144505
7133461605004536
oct16660224366571
93545032157185
101020093656441
1136368a303432
1214584b375135
137526b1a5792
1437530d4bd8d
151b80583242b
hexed8251ed79

1020093656441 has 2 divisors, whose sum is σ = 1020093656442. Its totient is φ = 1020093656440.

The previous prime is 1020093656429. The next prime is 1020093656443. The reversal of 1020093656441 is 1446563900201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 802643977216 + 217449679225 = 895904^2 + 466315^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020093656441 - 234 = 1002913787257 is a prime.

It is a super-2 number, since 2×10200936564412 (a number of 25 digits) contains 22 as substring.

Together with 1020093656443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1020093656443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510046828220 + 510046828221.

It is an arithmetic number, because the mean of its divisors is an integer number (510046828221).

Almost surely, 21020093656441 is an apocalyptic number.

It is an amenable number.

1020093656441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020093656441 is an equidigital number, since it uses as much as digits as its factorization.

1020093656441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 1020093656441 in words is "one trillion, twenty billion, ninety-three million, six hundred fifty-six thousand, four hundred forty-one".