Search a number
-
+
1121235126 = 2311213711273
BaseRepresentation
bin100001011010100…
…1011000010110110
32220010210122102220
41002311023002312
54244014011001
6303131543210
736533225034
oct10265130266
92803718386
101121235126
115259a9600
122735bab06
1314b3a734b
14a8ca9554
156867cc36
hex42d4b0b6

1121235126 has 48 divisors (see below), whose sum is σ = 2483075952. Its totient is φ = 337258240.

The previous prime is 1121235041. The next prime is 1121235127. The reversal of 1121235126 is 6215321211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1121235096 and 1121235105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121235127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93826 + ... + 105098.

It is an arithmetic number, because the mean of its divisors is an integer number (51730749).

Almost surely, 21121235126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121235126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241537976).

1121235126 is an abundant number, since it is smaller than the sum of its proper divisors (1361840826).

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

1121235126 is a wasteful number, since it uses less digits than its factorization.

1121235126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11437 (or 11426 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 1121235126 is about 33484.8492007953. The cubic root of 1121235126 is about 1038.8804292019.

Adding to 1121235126 its reverse (6215321211), we get a palindrome (7336556337).

The spelling of 1121235126 in words is "one billion, one hundred twenty-one million, two hundred thirty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 121 137 242 274 363 411 726 822 1507 3014 4521 9042 11273 16577 22546 33154 33819 49731 67638 99462 124003 248006 372009 744018 1364033 1544401 2728066 3088802 4092099 4633203 8184198 9266406 16988411 33976822 50965233 101930466 186872521 373745042 560617563 1121235126