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130213221132 = 223195929333037
BaseRepresentation
bin111100101000101010…
…0000001001100001100
3110110002210011000000210
41321101110001030030
54113134041034012
6135452533122420
712256543055211
oct1712124011414
9413083130023
10130213221132
115024aa72345
12212a0189410
13c38210a897
14643392db08
1535c193023c
hex1e5150130c

130213221132 has 96 divisors (see below), whose sum is σ = 326362579200. Its totient is φ = 40283834112.

The previous prime is 130213221079. The next prime is 130213221133. The reversal of 130213221132 is 231122312031.

It is a super-2 number, since 2×1302132211322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130213221099 and 130213221108.

It is not an unprimeable number, because it can be changed into a prime (130213221133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3924918 + ... + 3957954.

It is an arithmetic number, because the mean of its divisors is an integer number (3399610200).

Almost surely, 2130213221132 is an apocalyptic number.

130213221132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130213221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163181289600).

130213221132 is an abundant number, since it is smaller than the sum of its proper divisors (196149358068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130213221132 is a wasteful number, since it uses less digits than its factorization.

130213221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33415 (or 33413 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 130213221132 its reverse (231122312031), we get a palindrome (361335533163).

The spelling of 130213221132 in words is "one hundred thirty billion, two hundred thirteen million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 293 354 586 708 879 1121 1172 1758 2242 3363 3516 4484 5567 6726 11134 13452 16701 17287 22268 33037 33402 34574 51861 66074 66804 69148 99111 103722 132148 198222 207444 328453 396444 627703 656906 985359 1255406 1313812 1883109 1949183 1970718 2510812 3766218 3898366 3941436 5847549 7532436 7796732 9679841 11695098 19359682 23390196 29039523 37034477 38719364 58079046 74068954 111103431 116158092 148137908 183916979 222206862 367833958 444413724 551750937 571110619 735667916 1103501874 1142221238 1713331857 2207003748 2284442476 3426663714 6853327428 10851101761 21702203522 32553305283 43404407044 65106610566 130213221132