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130201524 = 223210135809
BaseRepresentation
bin1111100001010…
…11011110110100
3100001222220220200
413300223132310
5231312422044
620530400500
73140460165
oct760533664
9301886820
10130201524
116754a372
1237730130
1320c8942b
141341376c
15b66d369
hex7c2b7b4

130201524 has 36 divisors (see below), whose sum is σ = 332388420. Its totient is φ = 42969600.

The previous prime is 130201523. The next prime is 130201529. The reversal of 130201524 is 425102031.

It can be written as a sum of positive squares in 2 ways, for example, as 101364624 + 28836900 = 10068^2 + 5370^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130201497 and 130201506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130201523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14269 + ... + 21540.

Almost surely, 2130201524 is an apocalyptic number.

It is an amenable number.

130201524 is an abundant number, since it is smaller than the sum of its proper divisors (202186896).

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

130201524 is a wasteful number, since it uses less digits than its factorization.

130201524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35920 (or 35915 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130201524 is about 11410.5882407525. The cubic root of 130201524 is about 506.8413307857.

Adding to 130201524 its reverse (425102031), we get a palindrome (555303555).

The spelling of 130201524 in words is "one hundred thirty million, two hundred one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 35809 71618 107427 143236 214854 322281 429708 644562 1289124 3616709 7233418 10850127 14466836 21700254 32550381 43400508 65100762 130201524