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1023735416141 is a prime number
BaseRepresentation
bin11101110010110110110…
…00101100010101001101
310121212102212210111100202
432321123120230111031
5113233102231304031
62102144134503245
7133651055314004
oct16713330542515
93555385714322
101023735416141
11365188a54399
121464a6b04b25
13756cb817389
143779888bc3b
151b96a3e22cb
hexee5b62c54d

1023735416141 has 2 divisors, whose sum is σ = 1023735416142. Its totient is φ = 1023735416140.

The previous prime is 1023735416111. The next prime is 1023735416167. The reversal of 1023735416141 is 1416145373201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 884267526025 + 139467890116 = 940355^2 + 373454^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023735416141 is a prime.

It is a super-2 number, since 2×10237354161412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023735416095 and 1023735416104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023735416101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511867708070 + 511867708071.

It is an arithmetic number, because the mean of its divisors is an integer number (511867708071).

Almost surely, 21023735416141 is an apocalyptic number.

It is an amenable number.

1023735416141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023735416141 is an equidigital number, since it uses as much as digits as its factorization.

1023735416141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 1023735416141 in words is "one trillion, twenty-three billion, seven hundred thirty-five million, four hundred sixteen thousand, one hundred forty-one".