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1030131113301 = 32114459012589
BaseRepresentation
bin11101111110110001001…
…10010101110101010101
310122110221121102120111100
432333120212111311111
5113334202031111201
62105122524500313
7134265415663263
oct16773046256525
93573847376440
101030131113301
11367970181324
121477909aa699
13761aa879074
1437c04061433
151bbe1b3d886
hexefd8995d55

1030131113301 has 6 divisors (see below), whose sum is σ = 1487967163670. Its totient is φ = 686754075528.

The previous prime is 1030131113287. The next prime is 1030131113309. The reversal of 1030131113301 is 1033111310301.

1030131113301 is a `hidden beast` number, since 1 + 0 + 301 + 31 + 1 + 1 + 330 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 885273992100 + 144857121201 = 940890^2 + 380601^2 .

It is not a de Polignac number, because 1030131113301 - 219 = 1030130589013 is a prime.

It is a super-4 number, since 4×10301311133014 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030131113309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57229506286 + ... + 57229506303.

Almost surely, 21030131113301 is an apocalyptic number.

It is an amenable number.

1030131113301 is a deficient number, since it is larger than the sum of its proper divisors (457836050369).

1030131113301 is a wasteful number, since it uses less digits than its factorization.

1030131113301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114459012595 (or 114459012592 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1030131113301 its reverse (1033111310301), we get a palindrome (2063242423602).

The spelling of 1030131113301 in words is "one trillion, thirty billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 114459012589 343377037767 1030131113301