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130353311322 = 232135910788241
BaseRepresentation
bin111100101100110101…
…0011010111001011010
3110110110112202022122100
41321121222122321122
54113430421430242
6135514455504230
712263163602343
oct1713152327132
9413415668570
10130353311322
1150312056163
122131b088076
13c3a5149ca0
1464483990ca
1535cdda354c
hex1e59a9ae5a

130353311322 has 96 divisors (see below), whose sum is σ = 312207255360. Its totient is φ = 39059965440.

The previous prime is 130353311317. The next prime is 130353311329. The reversal of 130353311322 is 223113353031.

130353311322 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 331 + 1 + 322 = 666.

It is a super-2 number, since 2×1303533113222 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130353311329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1433122 + ... + 1521362.

It is an arithmetic number, because the mean of its divisors is an integer number (3252158910).

Almost surely, 2130353311322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130353311322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156103627680).

130353311322 is an abundant number, since it is smaller than the sum of its proper divisors (181853944038).

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

130353311322 is a wasteful number, since it uses less digits than its factorization.

130353311322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88428 (or 88425 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 130353311322 its reverse (223113353031), we get a palindrome (353466664353).

The spelling of 130353311322 in words is "one hundred thirty billion, three hundred fifty-three million, three hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 107 117 118 177 214 234 321 354 531 642 767 963 1062 1391 1534 1926 2301 2782 4173 4602 6313 6903 8346 12519 12626 13806 18939 25038 37878 56817 82069 88241 113634 164138 176482 246207 264723 492414 529446 738621 794169 1147133 1477242 1588338 2294266 3441399 5206219 6882798 9441787 10324197 10412438 15618657 18883574 20648394 28325361 31237314 46855971 56650722 67680847 84976083 93711942 122743231 135361694 169952166 203042541 245486462 368229693 406085082 557065433 609127623 736459386 1104689079 1114130866 1218255246 1671196299 2209378158 3342392598 5013588897 7241850629 10027177794 14483701258 21725551887 43451103774 65176655661 130353311322