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1125107214 = 237115345949
BaseRepresentation
bin100001100001111…
…1100011000001110
32220102002100221120
41003003330120032
54301011412324
6303350541410
736611152650
oct10303743016
92812070846
101125107214
11528103780
12274967866
1314c13191a
14a95d66d0
1568b95179
hex430fc60e

1125107214 has 64 divisors (see below), whose sum is σ = 2858457600. Its totient is φ = 286715520.

The previous prime is 1125107201. The next prime is 1125107227. The reversal of 1125107214 is 4127015211.

It is an interprime number because it is at equal distance from previous prime (1125107201) and next prime (1125107227).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1512 + ... + 47460.

It is an arithmetic number, because the mean of its divisors is an integer number (44663400).

Almost surely, 21125107214 is an apocalyptic number.

1125107214 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 1125107214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429228800).

1125107214 is an abundant number, since it is smaller than the sum of its proper divisors (1733350386).

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

1125107214 is a wasteful number, since it uses less digits than its factorization.

1125107214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46025.

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 1125107214 is about 33542.6178763674. The cubic root of 1125107214 is about 1040.0749496034.

The spelling of 1125107214 in words is "one billion, one hundred twenty-five million, one hundred seven thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 154 159 231 318 371 462 583 742 1113 1166 1749 2226 3498 4081 8162 12243 24486 45949 91898 137847 275694 321643 505439 643286 964929 1010878 1516317 1929858 2435297 3032634 3538073 4870594 7076146 7305891 10614219 14611782 17047079 21228438 26788267 34094158 51141237 53576534 80364801 102282474 160729602 187517869 375035738 562553607 1125107214