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13141222003 = 71317127211317
BaseRepresentation
bin11000011110100011…
…10010001001110011
31020220211112020122001
430033101302021303
5203403123101003
610011553554431
7643436354410
oct141721621163
936824466561
1013141222003
115633971658
122668b75a17
131315719310
148c940b107
1551da4a61d
hex30f472273

13141222003 has 64 divisors (see below), whose sum is σ = 17396563968. Its totient is φ = 9632286720.

The previous prime is 13141222001. The next prime is 13141222027. The reversal of 13141222003 is 30022214131.

It is a happy number.

13141222003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13141222003 - 21 = 13141222001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13141222001) 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 63 ways as a sum of consecutive naturals, for example, 41454801 + ... + 41455117.

It is an arithmetic number, because the mean of its divisors is an integer number (271821312).

Almost surely, 213141222003 is an apocalyptic number.

13141222003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13141222003 is a deficient number, since it is larger than the sum of its proper divisors (4255341965).

13141222003 is a wasteful number, since it uses less digits than its factorization.

13141222003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13141222003 its reverse (30022214131), we get a palindrome (43163436134).

The spelling of 13141222003 in words is "thirteen billion, one hundred forty-one million, two hundred twenty-two thousand, three".

Divisors: 1 7 13 17 91 119 127 211 221 317 889 1477 1547 1651 2159 2219 2743 3587 4121 5389 11557 15113 19201 25109 26797 28067 28847 37723 40259 46631 66887 70057 187579 196469 281813 326417 348361 455549 468209 490399 523367 684403 869531 1137079 2438527 3188843 3663569 4790821 5922137 6086717 7959553 8494649 8897239 14782027 41454959 59462543 62280673 103474189 110430437 144409033 773013059 1010863231 1877317429 13141222003