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1125335310 = 235115995693
BaseRepresentation
bin100001100010011…
…0100000100001110
32220102111221211120
41003010310010032
54301041212220
6303355501410
736613122651
oct10304640416
92812457746
101125335310
1152824a090
12274a57866
1314c1b16a8
14a9655898
1568bdca40
hex4313410e

1125335310 has 64 divisors (see below), whose sum is σ = 2951769600. Its totient is φ = 272305280.

The previous prime is 1125335257. The next prime is 1125335311. The reversal of 1125335310 is 135335211.

It is a super-2 number, since 2×11253353102 = 2532759119865592200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125335311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 194824 + ... + 200516.

It is an arithmetic number, because the mean of its divisors is an integer number (46121400).

Almost surely, 21125335310 is an apocalyptic number.

1125335310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125335310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475884800).

1125335310 is an abundant number, since it is smaller than the sum of its proper divisors (1826434290).

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

1125335310 is a wasteful number, since it uses less digits than its factorization.

1125335310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1125335310 is about 33546.0177964539. The cubic root of 1125335310 is about 1040.1452305813.

Subtracting from 1125335310 its reverse (135335211), we obtain a palindrome (990000099).

The spelling of 1125335310 in words is "one billion, one hundred twenty-five million, three hundred thirty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 599 1198 1797 2995 3594 5693 5990 6589 8985 11386 13178 17079 17970 19767 28465 32945 34158 39534 56930 62623 65890 85395 98835 125246 170790 187869 197670 313115 375738 626230 939345 1878690 3410107 6820214 10230321 17050535 20460642 34101070 37511177 51151605 75022354 102303210 112533531 187555885 225067062 375111770 562667655 1125335310