Search a number
-
+
121432104 = 233210915473
BaseRepresentation
bin1110011110011…
…10100000101000
322110111101112100
413033032200220
5222041311404
620014413400
73003104313
oct717164050
9273441470
10121432104
11625aa812
1234801260
131c208a21
14121ad97a
15a9d9d39
hex73ce828

121432104 has 48 divisors (see below), whose sum is σ = 331917300. Its totient is φ = 40103424.

The previous prime is 121432057. The next prime is 121432117. The reversal of 121432104 is 401234121.

It can be written as a sum of positive squares in 2 ways, for example, as 120956004 + 476100 = 10998^2 + 690^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 112 + ... + 15584.

Almost surely, 2121432104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121432104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165958650).

121432104 is an abundant number, since it is smaller than the sum of its proper divisors (210485196).

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

121432104 is a wasteful number, since it uses less digits than its factorization.

121432104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15594 (or 15587 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 121432104 is about 11019.6235870378. The cubic root of 121432104 is about 495.1968118506.

Adding to 121432104 its reverse (401234121), we get a palindrome (522666225).

The spelling of 121432104 in words is "one hundred twenty-one million, four hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 15473 30946 46419 61892 92838 123784 139257 185676 278514 371352 557028 1114056 1686557 3373114 5059671 6746228 10119342 13492456 15179013 20238684 30358026 40477368 60716052 121432104