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1009963480331 = 13192320367189
BaseRepresentation
bin11101011001001101000…
…00111011010100001011
310120112220002110200001002
432230212200323110023
5113021401122332311
62051545410245215
7132652556636441
oct16544640732413
93515802420032
101009963480331
1135a361067163
121438a288680b
137431553a630
1436c4d7c0b91
151b41130d93b
hexeb2683b50b

1009963480331 has 24 divisors (see below), whose sum is σ = 1148286237840. Its totient is φ = 882918045504.

The previous prime is 1009963480307. The next prime is 1009963480363. The reversal of 1009963480331 is 1330843699001.

1009963480331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-1009963480331 is a prime.

It is a super-2 number, since 2×10099634803312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009963480301) 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, 14998085 + ... + 15065273.

It is an arithmetic number, because the mean of its divisors is an integer number (47845259910).

Almost surely, 21009963480331 is an apocalyptic number.

1009963480331 is a deficient number, since it is larger than the sum of its proper divisors (138322757509).

1009963480331 is a wasteful number, since it uses less digits than its factorization.

1009963480331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70443 (or 70424 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The spelling of 1009963480331 in words is "one trillion, nine billion, nine hundred sixty-three million, four hundred eighty thousand, three hundred thirty-one".

Divisors: 1 13 19 247 361 3203 4693 41639 60857 67189 791141 873457 1156283 1276591 15031679 16595683 24255229 215206367 315317977 2797682771 4088920973 53155972649 77689498487 1009963480331