Search a number
-
+
130424152124 = 227291916911217
BaseRepresentation
bin111100101110111100…
…0101010000000111100
3110110122111001101221202
41321131320222000330
54114102040331444
6135525510115032
712265014000320
oct1713570520074
9413574041852
10130424152124
1150349040982
122133a94ba78
13c3b6a21416
146453959980
1535d51e834e
hex1e5de2a03c

130424152124 has 96 divisors (see below), whose sum is σ = 271871631360. Its totient is φ = 53564313600.

The previous prime is 130424152097. The next prime is 130424152163. The reversal of 130424152124 is 421251424031.

It is a happy number.

It is a super-2 number, since 2×1304241521242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 31 ways as a sum of consecutive naturals, for example, 107167964 + ... + 107169180.

It is an arithmetic number, because the mean of its divisors is an integer number (2831996160).

Almost surely, 2130424152124 is an apocalyptic number.

130424152124 is a gapful number since it is divisible by the number (14) 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 130424152124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135935815680).

130424152124 is an abundant number, since it is smaller than the sum of its proper divisors (141447479236).

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

130424152124 is a wasteful number, since it uses less digits than its factorization.

130424152124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 130424152124 its reverse (421251424031), we get a palindrome (551675576155).

The spelling of 130424152124 in words is "one hundred thirty billion, four hundred twenty-four million, one hundred fifty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 29 58 116 191 203 382 406 691 764 812 1217 1337 1382 2434 2674 2764 4837 4868 5348 5539 8519 9674 11078 17038 19348 20039 22156 34076 35293 38773 40078 70586 77546 80156 131981 140273 141172 155092 232447 247051 263962 280546 464894 494102 527924 561092 840947 923867 929788 988204 1627129 1681894 1847734 3254258 3363788 3695468 3827449 5886629 6508516 6740963 7654898 11773258 13481926 15309796 23546516 24387463 26792143 26963852 47186741 48774926 53584286 94373482 97549852 107168572 160620877 170712241 188746964 321241754 341424482 642483508 682848964 1124346139 2248692278 4497384556 4658005433 9316010866 18632021732 32606038031 65212076062 130424152124