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1012133131 = 17139942557
BaseRepresentation
bin111100010100111…
…110110100001011
32121112111200122021
4330110332310023
54033101230011
6244233305311
734036663312
oct7424766413
92545450567
101012133131
1147a360669
12242b65237
131318c7959
14985c9279
155dccb471
hex3c53ed0b

1012133131 has 8 divisors (see below), whose sum is σ = 1072461600. Its totient is φ = 951892608.

The previous prime is 1012133123. The next prime is 1012133149. The reversal of 1012133131 is 1313312101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1012133131 - 23 = 1012133123 is a prime.

It is a super-2 number, since 2×10121331312 = 2048826949735726322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012133431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2505 + ... + 45061.

It is an arithmetic number, because the mean of its divisors is an integer number (134057700).

Almost surely, 21012133131 is an apocalyptic number.

1012133131 is a deficient number, since it is larger than the sum of its proper divisors (60328469).

1012133131 is a wasteful number, since it uses less digits than its factorization.

1012133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43973.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1012133131 is about 31814.0398409256. The cubic root of 1012133131 is about 1004.0281293871.

Adding to 1012133131 its reverse (1313312101), we get a palindrome (2325445232).

The spelling of 1012133131 in words is "one billion, twelve million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 17 1399 23783 42557 723469 59537243 1012133131