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130322413221 = 37111353818819
BaseRepresentation
bin111100101011111010…
…0100011011010100101
3110110101101121112102020
41321113310203122211
54113400014210341
6135511433333353
712262340143410
oct1712764433245
9413341545366
10130322413221
11502a6671a40
1221310867259
13c39b91c2a0
146444234b77
1535cb2ed566
hex1e57d236a5

130322413221 has 64 divisors (see below), whose sum is σ = 237706721280. Its totient is φ = 61313091840.

The previous prime is 130322413213. The next prime is 130322413229. The reversal of 130322413221 is 122314223031.

It is an interprime number because it is at equal distance from previous prime (130322413213) and next prime (130322413229).

It is not a de Polignac number, because 130322413221 - 23 = 130322413213 is a prime.

It is a super-3 number, since 3×1303224132213 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130322413191 and 130322413200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130322413229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250251 + ... + 568568.

It is an arithmetic number, because the mean of its divisors is an integer number (3714167520).

Almost surely, 2130322413221 is an apocalyptic number.

130322413221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130322413221 is a deficient number, since it is larger than the sum of its proper divisors (107384308059).

130322413221 is a wasteful number, since it uses less digits than its factorization.

130322413221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818906.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130322413221 its reverse (122314223031), we get a palindrome (252636636252).

The spelling of 130322413221 in words is "one hundred thirty billion, three hundred twenty-two million, four hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 53 77 91 143 159 231 273 371 429 583 689 1001 1113 1749 2067 3003 4081 4823 7579 12243 14469 22737 53053 159159 818819 2456457 5731733 9007009 10644647 17195199 27021027 31933941 43397407 63049063 74512529 117091117 130192221 189147189 223537587 303781849 351273351 477371477 564166291 819637819 911345547 1432114431 1692498873 2458913457 3341600339 3949164037 6205829201 10024801017 11847492111 18617487603 43440804407 130322413221