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1125214120 = 23552153993
BaseRepresentation
bin100001100010001…
…0110011110101000
32220102021210121001
41003010112132220
54301023322440
6303353124344
736612106432
oct10304263650
92812253531
101125214120
11528177028
122749b96b4
1314c16b494
14a9623652
1568bb6b9a
hex431167a8

1125214120 has 32 divisors (see below), whose sum is σ = 2536638120. Its totient is φ = 449213440.

The previous prime is 1125214117. The next prime is 1125214121. The reversal of 1125214120 is 214125211.

It can be written as a sum of positive squares in 4 ways, for example, as 1063151236 + 62062884 = 32606^2 + 7878^2 .

It is a super-4 number, since 4×11252141204 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1125214121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6157 + ... + 47836.

Almost surely, 21125214120 is an apocalyptic number.

1125214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125214120 is an abundant number, since it is smaller than the sum of its proper divisors (1411424000).

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

1125214120 is a wasteful number, since it uses less digits than its factorization.

1125214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54525 (or 54521 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1125214120 is about 33544.2114231353. The cubic root of 1125214120 is about 1040.1078906807.

Adding to 1125214120 its reverse (214125211), we get a palindrome (1339339331).

The spelling of 1125214120 in words is "one billion, one hundred twenty-five million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 521 1042 2084 2605 4168 5210 10420 20840 53993 107986 215972 269965 431944 539930 1079860 2159720 28130353 56260706 112521412 140651765 225042824 281303530 562607060 1125214120