Search a number
-
+
10312666231041 = 3213734072454911
BaseRepresentation
bin1001011000010001101011…
…0011101011000100000001
31100111212210102220111002200
42112010122303223010001
52322430320023343131
633533323511303413
72113031324431146
oct226043263530401
940455712814080
1010312666231041
113316639267159
1211a67b707ab69
1359a6321666a5
142791c85563cd
1512d3c95c42e6
hex9611aceb101

10312666231041 has 24 divisors (see below), whose sum is σ = 15009214132224. Its totient is φ = 6822921543360.

The previous prime is 10312666231013. The next prime is 10312666231079. The reversal of 10312666231041 is 14013266621301.

It is a de Polignac number, because none of the positive numbers 2k-10312666231041 is a prime.

It is a super-3 number, since 3×103126662310413 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10312666230987 and 10312666231005.

It is not an unprimeable number, because it can be changed into a prime (10312666231741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2973376 + ... + 5428286.

It is an arithmetic number, because the mean of its divisors is an integer number (625383922176).

Almost surely, 210312666231041 is an apocalyptic number.

It is an amenable number.

10312666231041 is a deficient number, since it is larger than the sum of its proper divisors (4696547901183).

10312666231041 is a wasteful number, since it uses less digits than its factorization.

10312666231041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458461 (or 2458458 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10312666231041 in words is "ten trillion, three hundred twelve billion, six hundred sixty-six million, two hundred thirty-one thousand, forty-one".

Divisors: 1 3 9 137 411 1233 3407 10221 30663 466759 1400277 2454911 4200831 7364733 22094199 336322807 1008968421 3026905263 8363881777 25091645331 75274935993 1145851803449 3437555410347 10312666231041