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130211220321 = 32713229694271
BaseRepresentation
bin111100101000100110…
…0011000101101100001
3110110002122101100102200
41321101030120231201
54113133033022241
6135452422203413
712256520053020
oct1712114305541
9413078340380
10130211220321
1150249926086
122129b583569
13c381889c80
14643356c8b7
1535c16874b6
hex1e51318b61

130211220321 has 48 divisors (see below), whose sum is σ = 232497807360. Its totient is φ = 68382817920.

The previous prime is 130211220301. The next prime is 130211220341. The reversal of 130211220321 is 123022112031.

130211220321 is a `hidden beast` number, since 130 + 211 + 2 + 2 + 0 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (130211220301) and next prime (130211220341).

It is not a de Polignac number, because 130211220321 - 210 = 130211219297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130211220294 and 130211220303.

It is not an unprimeable number, because it can be changed into a prime (130211220301) 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 47 ways as a sum of consecutive naturals, for example, 159585 + ... + 534686.

It is an arithmetic number, because the mean of its divisors is an integer number (4843704320).

Almost surely, 2130211220321 is an apocalyptic number.

It is an amenable number.

130211220321 is a deficient number, since it is larger than the sum of its proper divisors (102286587039).

130211220321 is a wasteful number, since it uses less digits than its factorization.

130211220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694526 (or 694523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130211220321 its reverse (123022112031), we get a palindrome (253233332352).

The spelling of 130211220321 in words is "one hundred thirty billion, two hundred eleven million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 229 273 687 819 1603 2061 2977 4809 8931 14427 20839 26793 62517 187551 694271 2082813 4859897 6248439 9025523 14579691 27076569 43739073 63178661 81229707 158988059 189535983 476964177 568607949 1112916413 1430892531 2066844767 3338749239 6200534301 10016247717 14467913369 18601602903 43403740107 130211220321