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1124025253 = 13244914813
BaseRepresentation
bin100001011111111…
…0100001110100101
32220100001101202221
41002333310032211
54300222302003
6303311432341
736566025361
oct10277641645
92810041687
101124025253
1152753489a
122745256b1
1314bb43300
14a93d42a1
1568a2e7bd
hex42ff43a5

1124025253 has 12 divisors (see below), whose sum is σ = 1219932900. Its totient is φ = 1035181056.

The previous prime is 1124025247. The next prime is 1124025269. The reversal of 1124025253 is 3525204211.

It can be written as a sum of positive squares in 6 ways, for example, as 202720644 + 921304609 = 14238^2 + 30353^2 .

It is a de Polignac number, because none of the positive numbers 2k-1124025253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124025293) 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 11 ways as a sum of consecutive naturals, for example, 68475 + ... + 83287.

It is an arithmetic number, because the mean of its divisors is an integer number (101661075).

Almost surely, 21124025253 is an apocalyptic number.

1124025253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1124025253 is a deficient number, since it is larger than the sum of its proper divisors (95907647).

1124025253 is a wasteful number, since it uses less digits than its factorization.

1124025253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15288 (or 15275 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1124025253 is about 33526.4858432852. The cubic root of 1124025253 is about 1039.7414461431.

Adding to 1124025253 its reverse (3525204211), we get a palindrome (4649229464).

The spelling of 1124025253 in words is "one billion, one hundred twenty-four million, twenty-five thousand, two hundred fifty-three".

Divisors: 1 13 169 449 5837 14813 75881 192569 2503397 6651037 86463481 1124025253