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1125000114 = 237213927529
BaseRepresentation
bin100001100001110…
…0010001110110010
32220101212221000220
41003003202032302
54301000000424
6303344353510
736610225500
oct10303421662
92811787026
101125000114
11528040267
12274915896
1314c0c4c54
14a95a9670
1568b73579
hex430e23b2

1125000114 has 48 divisors (see below), whose sum is σ = 2636272800. Its totient is φ = 319104576.

The previous prime is 1125000067. The next prime is 1125000157. The reversal of 1125000114 is 4110005211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1125000093 and 1125000102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27102 + ... + 54630.

It is an arithmetic number, because the mean of its divisors is an integer number (54922350).

Almost surely, 21125000114 is an apocalyptic number.

1125000114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125000114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318136400).

1125000114 is an abundant number, since it is smaller than the sum of its proper divisors (1511272686).

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

1125000114 is a wasteful number, since it uses less digits than its factorization.

1125000114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27687 (or 27680 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1125000114 is about 33541.0213619085. The cubic root of 1125000114 is about 1040.0419466563.

Adding to 1125000114 its reverse (4110005211), we get a palindrome (5235005325).

The spelling of 1125000114 in words is "one billion, one hundred twenty-five million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 49 98 139 147 278 294 417 834 973 1946 2919 5838 6811 13622 20433 27529 40866 55058 82587 165174 192703 385406 578109 1156218 1348921 2697842 3826531 4046763 7653062 8093526 11479593 22959186 26785717 53571434 80357151 160714302 187500019 375000038 562500057 1125000114