Search a number
-
+
431401122 = 232122919501
BaseRepresentation
bin11001101101101…
…010100010100010
31010001202110002100
4121231222202202
51340414313442
6110450231230
713455564135
oct3155524242
91101673070
10431401122
11201573059
12100585516
136b4b7249
144141a21c
1527d1784c
hex19b6a8a2

431401122 has 24 divisors (see below), whose sum is σ = 935510940. Its totient is φ = 143676000.

The previous prime is 431401121. The next prime is 431401123. The reversal of 431401122 is 221104134.

It is an interprime number because it is at equal distance from previous prime (431401121) and next prime (431401123).

It can be written as a sum of positive squares in 2 ways, for example, as 379431441 + 51969681 = 19479^2 + 7209^2 .

It is a super-2 number, since 2×4314011222 = 372213856125717768, which contains 22 as substring.

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 = 431401095 and 431401104.

It is not an unprimeable number, because it can be changed into a prime (431401121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12372 + ... + 31872.

Almost surely, 2431401122 is an apocalyptic number.

431401122 is an abundant number, since it is smaller than the sum of its proper divisors (504109818).

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

431401122 is a wasteful number, since it uses less digits than its factorization.

431401122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20738 (or 20735 counting only the distinct ones).

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

The square root of 431401122 is about 20770.1979287632. The cubic root of 431401122 is about 755.6031447806.

Adding to 431401122 its reverse (221104134), we get a palindrome (652505256).

The spelling of 431401122 in words is "four hundred thirty-one million, four hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1229 2458 3687 7374 11061 19501 22122 39002 58503 117006 175509 351018 23966729 47933458 71900187 143800374 215700561 431401122