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13033103031 = 3213111394043
BaseRepresentation
bin11000010001101010…
…10101111010110111
31020122022002020021200
430020311111322313
5203142433244111
65553132343543
7640654355634
oct141065257267
936568066250
1013033103031
115588935233
122638914bb3
1312c91c21b0
148b8d0518b
155142e0256
hex308d55eb7

13033103031 has 12 divisors (see below), whose sum is σ = 20273716008. Its totient is φ = 8020371024.

The previous prime is 13033102933. The next prime is 13033103053. The reversal of 13033103031 is 13030133031.

13033103031 is a `hidden beast` number, since 1 + 30 + 331 + 0 + 303 + 1 = 666.

It is not a de Polignac number, because 13033103031 - 213 = 13033094839 is a prime.

It is a super-2 number, since 2×130331030312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13033102995 and 13033103013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033103081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55696905 + ... + 55697138.

It is an arithmetic number, because the mean of its divisors is an integer number (1689476334).

Almost surely, 213033103031 is an apocalyptic number.

13033103031 is a deficient number, since it is larger than the sum of its proper divisors (7240612977).

13033103031 is a wasteful number, since it uses less digits than its factorization.

13033103031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111394062 (or 111394059 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13033103031 its reverse (13030133031), we get a palindrome (26063236062).

The spelling of 13033103031 in words is "thirteen billion, thirty-three million, one hundred three thousand, thirty-one".

Divisors: 1 3 9 13 39 117 111394043 334182129 1002546387 1448122559 4344367677 13033103031