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1253131024 = 24111770117
BaseRepresentation
bin100101010110001…
…0100001100010000
310020022222122121011
41022230110030100
510031300143044
6324202540304
743024303135
oct11254241420
93208878534
101253131024
115933a5982
122ab807694
1316c807a62
14bc60058c
1575033134
hex4ab14310

1253131024 has 20 divisors (see below), whose sum is σ = 2430149644. Its totient is φ = 625995648.

The previous prime is 1253131007. The next prime is 1253131037. The reversal of 1253131024 is 4201313521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 233478400 + 1019652624 = 15280^2 + 31932^2 .

It is a super-2 number, since 2×12531310242 = 3140674726622577152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1253130986 and 1253131004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17187 + ... + 52930.

Almost surely, 21253131024 is an apocalyptic number.

It is an amenable number.

1253131024 is a deficient number, since it is larger than the sum of its proper divisors (1177018620).

1253131024 is a wasteful number, since it uses less digits than its factorization.

1253131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71242 (or 71236 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1253131024 is about 35399.5907320975. The cubic root of 1253131024 is about 1078.1160066675.

Adding to 1253131024 its reverse (4201313521), we get a palindrome (5454444545).

The spelling of 1253131024 in words is "one billion, two hundred fifty-three million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 1117 2234 4468 8936 17872 70117 140234 280468 560936 1121872 78320689 156641378 313282756 626565512 1253131024