Search a number
-
+
430132122 = 23274497603
BaseRepresentation
bin11001101000110…
…100101110011010
31002222100222100100
4121220310232122
51340103211442
6110403120230
713442030340
oct3150645632
91088328310
10430132122
112008866a2
12100073076
136b161764
14411a9990
1527b6684c
hex19a34b9a

430132122 has 48 divisors (see below), whose sum is σ = 1067601600. Its totient is φ = 122605056.

The previous prime is 430132111. The next prime is 430132123. The reversal of 430132122 is 221231034.

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

It is a junction number, because it is equal to n+sod(n) for n = 430132095 and 430132104.

It is not an unprimeable number, because it can be changed into a prime (430132123) 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, 52773 + ... + 60375.

It is an arithmetic number, because the mean of its divisors is an integer number (22241700).

Almost surely, 2430132122 is an apocalyptic number.

430132122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

430132122 is an abundant number, since it is smaller than the sum of its proper divisors (637469478).

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

430132122 is a wasteful number, since it uses less digits than its factorization.

430132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8067 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430132122 is about 20739.6268529595. The cubic root of 430132122 is about 754.8615286305.

Adding to 430132122 its reverse (221231034), we get a palindrome (651363156).

The spelling of 430132122 in words is "four hundred thirty million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 449 898 1347 2694 3143 4041 6286 7603 8082 9429 15206 18858 22809 28287 45618 53221 56574 68427 106442 136854 159663 319326 478989 957978 3413747 6827494 10241241 20482482 23896229 30723723 47792458 61447446 71688687 143377374 215066061 430132122