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130138242 = 231315710627
BaseRepresentation
bin1111100000111…
…00000010000010
3100001212201002220
413300130002002
5231303410432
620525151510
73140104533
oct760340202
9301781086
10130138242
1167506873
12376bb596
1320c666a0
14133d868a
15b65972c
hex7c1c082

130138242 has 32 divisors (see below), whose sum is σ = 282109632. Its totient is φ = 39783744.

The previous prime is 130138219. The next prime is 130138249. The reversal of 130138242 is 242831031.

It is not an unprimeable number, because it can be changed into a prime (130138249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6933 + ... + 17559.

It is an arithmetic number, because the mean of its divisors is an integer number (8815926).

Almost surely, 2130138242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130138242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141054816).

130138242 is an abundant number, since it is smaller than the sum of its proper divisors (151971390).

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

130138242 is a wasteful number, since it uses less digits than its factorization.

130138242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10802.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 130138242 is about 11407.8149529171. The cubic root of 130138242 is about 506.7592039160.

Adding to 130138242 its reverse (242831031), we get a palindrome (372969273).

The spelling of 130138242 in words is "one hundred thirty million, one hundred thirty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 942 2041 4082 6123 10627 12246 21254 31881 63762 138151 276302 414453 828906 1668439 3336878 5005317 10010634 21689707 43379414 65069121 130138242