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103013133221 = 8310314538293
BaseRepresentation
bin101111111110000001…
…1111010101110100101
3100211220011101100222102
41133330003322232211
53141432330230341
6115153520541445
710304522120315
oct1377403725645
9324804340872
10103013133221
113a762256749
1217b6aa81885
139938b419cb
144db32c5445
152a2da24c9b
hex17fc0faba5

103013133221 has 16 divisors (see below), whose sum is σ = 105351582336. Its totient is φ = 100702426176.

The previous prime is 103013133199. The next prime is 103013133227. The reversal of 103013133221 is 122331310301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103013133221 is a prime.

It is a super-2 number, since 2×1030131332212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103013133193 and 103013133202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013133227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12417551 + ... + 12425843.

It is an arithmetic number, because the mean of its divisors is an integer number (6584473896).

Almost surely, 2103013133221 is an apocalyptic number.

It is an amenable number.

103013133221 is a deficient number, since it is larger than the sum of its proper divisors (2338449115).

103013133221 is a wasteful number, since it uses less digits than its factorization.

103013133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 103013133221 its reverse (122331310301), we get a palindrome (225344443522).

The spelling of 103013133221 in words is "one hundred three billion, thirteen million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 83 103 1453 8293 8549 120599 149659 688319 854179 12049729 12421697 70896857 1000127507 1241122087 103013133221