Search a number
-
+
130531254100 = 225213100408657
BaseRepresentation
bin111100110010001000…
…1001101111101010100
3110110220221120202020121
41321210101031331110
54114312000112400
6135544253441324
712300454232062
oct1714421157524
9413827522217
10130531254100
11503a3543205
122136a7a0244
13c402c80680
146463c79032
1535de80221a
hex1e6444df54

130531254100 has 36 divisors (see below), whose sum is σ = 305041503004. Its totient is φ = 48196154880.

The previous prime is 130531254059. The next prime is 130531254107. The reversal of 130531254100 is 1452135031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 23814045124 + 106717208976 = 154318^2 + 326676^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130531254107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 50203029 + ... + 50205628.

Almost surely, 2130531254100 is an apocalyptic number.

130531254100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130531254100 is an abundant number, since it is smaller than the sum of its proper divisors (174510248904).

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

130531254100 is a wasteful number, since it uses less digits than its factorization.

130531254100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100408684 (or 100408677 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 130531254100 its reverse (1452135031), we get a palindrome (131983389131).

The spelling of 130531254100 in words is "one hundred thirty billion, five hundred thirty-one million, two hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 100408657 200817314 401634628 502043285 1004086570 1305312541 2008173140 2510216425 2610625082 5020432850 5221250164 6526562705 10040865700 13053125410 26106250820 32632813525 65265627050 130531254100