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130523214224 = 24132953212501
BaseRepresentation
bin111100110001111001…
…0100011000110010000
3110110220101110021121102
41321203302203012100
54114302420323344
6135543405243532
712300326005154
oct1714362430620
9413811407542
10130523214224
1150399a51787
1221367b635a8
13c4013c7050
146462b85064
1535ddc64e4e
hex1e63ca3190

130523214224 has 40 divisors (see below), whose sum is σ = 272435214072. Its totient is φ = 60220800000.

The previous prime is 130523214221. The next prime is 130523214233. The reversal of 130523214224 is 422412325031.

It can be written as a sum of positive squares in 4 ways, for example, as 41480654224 + 89042560000 = 203668^2 + 298400^2 .

It is not an unprimeable number, because it can be changed into a prime (130523214221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507974 + ... + 720474.

Almost surely, 2130523214224 is an apocalyptic number.

It is an amenable number.

130523214224 is an abundant number, since it is smaller than the sum of its proper divisors (141911999848).

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

130523214224 is a wasteful number, since it uses less digits than its factorization.

130523214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215475 (or 215469 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 130523214224 its reverse (422412325031), we get a palindrome (552935539255).

The spelling of 130523214224 in words is "one hundred thirty billion, five hundred twenty-three million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 2953 5906 11812 23624 38389 47248 76778 153556 212501 307112 425002 614224 850004 1700008 2762513 3400016 5525026 11050052 22100104 44200208 627515453 1255030906 2510061812 5020123624 8157700889 10040247248 16315401778 32630803556 65261607112 130523214224