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130554242221 = 1323773286009
BaseRepresentation
bin111100110010110100…
…0111010010010101101
3110110222112211200000111
41321211220322102231
54114333341222341
6135550434300021
712301153514614
oct1714550722255
9413875750014
10130554242221
1150405514557
1221376427611
13c40796bc00
146466d4087b
1535e1843681
hex1e65a3a4ad

130554242221 has 24 divisors (see below), whose sum is σ = 147179601960. Its totient is φ = 115647906816.

The previous prime is 130554242213. The next prime is 130554242249. The reversal of 130554242221 is 122242455031.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10585528996 + 119968713225 = 102886^2 + 346365^2 .

It is not a de Polignac number, because 130554242221 - 23 = 130554242213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130554242261) 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, 313465 + ... + 599473.

It is an arithmetic number, because the mean of its divisors is an integer number (6132483415).

Almost surely, 2130554242221 is an apocalyptic number.

It is an amenable number.

130554242221 is a deficient number, since it is larger than the sum of its proper divisors (16625359739).

130554242221 is a wasteful number, since it uses less digits than its factorization.

130554242221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286145 (or 286132 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 130554242221 its reverse (122242455031), we get a palindrome (252796697252).

The spelling of 130554242221 in words is "one hundred thirty billion, five hundred fifty-four million, two hundred forty-two thousand, two hundred twenty-one".

Divisors: 1 13 37 73 169 481 949 2701 6253 12337 35113 286009 456469 3718117 10582333 20878657 48335521 137570329 271422541 772510309 1788414277 3528493033 10042634017 130554242221