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130221213135 = 351343910691423
BaseRepresentation
bin111100101000111001…
…0100000010111001111
3110110010100012000222220
41321101302200113033
54113143112310020
6135453420310423
712260001022416
oct1712162402717
9413110160886
10130221213135
1150254530902
12212a29a2413
13c383978490
146434a1047d
1535c24ad240
hex1e51ca05cf

130221213135 has 64 divisors (see below), whose sum is σ = 225260851200. Its totient is φ = 63858129408.

The previous prime is 130221213119. The next prime is 130221213151. The reversal of 130221213135 is 531312122031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130221213119) and next prime (130221213151).

It is not a de Polignac number, because 130221213135 - 24 = 130221213119 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 91511034 + ... + 91512456.

It is an arithmetic number, because the mean of its divisors is an integer number (3519700800).

Almost surely, 2130221213135 is an apocalyptic number.

130221213135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130221213135 is a deficient number, since it is larger than the sum of its proper divisors (95039638065).

130221213135 is a wasteful number, since it uses less digits than its factorization.

130221213135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 130221213135 its reverse (531312122031), we get a palindrome (661533335166).

The spelling of 130221213135 in words is "one hundred thirty billion, two hundred twenty-one million, two hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 195 439 1069 1317 1423 2195 3207 4269 5345 5707 6585 7115 13897 16035 17121 18499 21345 28535 41691 55497 69485 85605 92495 208455 277485 469291 624697 1407873 1521187 1874091 2346455 3123485 4563561 6100783 7039365 7605935 8121061 9370455 18302349 19775431 22817805 24363183 30503915 40605305 59326293 91511745 98877155 121815915 296631465 667801093 2003403279 3339005465 8681414209 10017016395 26044242627 43407071045 130221213135