Search a number
-
+
130220202132 = 223261101587117
BaseRepresentation
bin111100101000110111…
…0101001100010010100
3110110010021021200011100
41321101232221202110
54113142332432012
6135453342510100
712256656312036
oct1712156514224
9413107250140
10130220202132
1150253a00269
12212a2595330
13c3836b3257
146434829c56
1535c235d8dc
hex1e51ba9894

130220202132 has 72 divisors (see below), whose sum is σ = 337877015112. Its totient is φ = 42272352000.

The previous prime is 130220202127. The next prime is 130220202139. The reversal of 130220202132 is 231202022031.

It can be written as a sum of positive squares in 4 ways, for example, as 60710988816 + 69509213316 = 246396^2 + 263646^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130220202139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71763 + ... + 515354.

It is an arithmetic number, because the mean of its divisors is an integer number (4692736321).

Almost surely, 2130220202132 is an apocalyptic number.

130220202132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130220202132 is an abundant number, since it is smaller than the sum of its proper divisors (207656812980).

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

130220202132 is a wasteful number, since it uses less digits than its factorization.

130220202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587289 (or 587284 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130220202132 its reverse (231202022031), we get a palindrome (361422224163).

The spelling of 130220202132 in words is "one hundred thirty billion, two hundred twenty million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 101 122 183 202 244 303 366 404 549 606 732 909 1098 1212 1818 2196 3636 6161 12322 18483 24644 36966 55449 73932 110898 221796 587117 1174234 1761351 2348468 3522702 5284053 7045404 10568106 21136212 35814137 59298817 71628274 107442411 118597634 143256548 177896451 214884822 237195268 322327233 355792902 429769644 533689353 644654466 711585804 1067378706 1289308932 2134757412 3617227837 7234455674 10851683511 14468911348 21703367022 32555050533 43406734044 65110101066 130220202132