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130101424 = 24291991409
BaseRepresentation
bin1111100000100…
…11000010110000
3100001210211121021
413300103002300
5231301221144
620524305224
73136562305
oct760230260
9301724537
10130101424
1167491142
12376a2214
1320c529bb
14133c90ac
15b64d884
hex7c130b0

130101424 has 40 divisors (see below), whose sum is σ = 262260000. Its totient is φ = 62447616.

The previous prime is 130101401. The next prime is 130101427. The reversal of 130101424 is 424101031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130101398 and 130101407.

It is not an unprimeable number, because it can be changed into a prime (130101427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91632 + ... + 93040.

It is an arithmetic number, because the mean of its divisors is an integer number (6556500).

Almost surely, 2130101424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130101424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131130000).

130101424 is an abundant number, since it is smaller than the sum of its proper divisors (132158576).

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

130101424 is a wasteful number, since it uses less digits than its factorization.

130101424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 130101424 is about 11406.2011204432. The cubic root of 130101424 is about 506.7114095606.

Adding to 130101424 its reverse (424101031), we get a palindrome (554202455).

The spelling of 130101424 in words is "one hundred thirty million, one hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 199 232 398 464 796 1409 1592 2818 3184 5636 5771 11272 11542 22544 23084 40861 46168 81722 92336 163444 280391 326888 560782 653776 1121564 2243128 4486256 8131339 16262678 32525356 65050712 130101424