Search a number
-
+
253351431130 = 257410551913
BaseRepresentation
bin1110101111110011101…
…1000000101111011010
3220012221111102012100011
43223330323000233122
513122330431244010
6312215452232134
724206166430000
oct3537473005732
9805844365304
10253351431130
119849a307046
1241126a6b64a
131ab7750ab35
14c395978a70
1568cc17aa8a
hex3afcec0bda

253351431130 has 40 divisors (see below), whose sum is σ = 532006400052. Its totient is φ = 86863339584.

The previous prime is 253351431061. The next prime is 253351431133. The reversal of 253351431130 is 31134153352.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 242651804409 + 10699626721 = 492597^2 + 103439^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253351431092 and 253351431101.

It is not an unprimeable number, because it can be changed into a prime (253351431133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5251947 + ... + 5299966.

Almost surely, 2253351431130 is an apocalyptic number.

253351431130 is an abundant number, since it is smaller than the sum of its proper divisors (278654968922).

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

253351431130 is an equidigital number, since it uses as much as digits as its factorization.

253351431130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551948 (or 10551927 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 253351431130 its reverse (31134153352), we get a palindrome (284485584482).

The spelling of 253351431130 in words is "two hundred fifty-three billion, three hundred fifty-one million, four hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 2401 3430 4802 12005 24010 10551913 21103826 52759565 73863391 105519130 147726782 369316955 517043737 738633910 1034087474 2585218685 3619306159 5170437370 7238612318 18096530795 25335143113 36193061590 50670286226 126675715565 253351431130