Search a number
-
+
31003100442 = 2321722394469
BaseRepresentation
bin11100110111111011…
…011100010100011010
32222000122210200111100
4130313323130110122
51001443243203232
622124224012230
72145200001636
oct346773342432
988018720440
1031003100442
111216a495266
126012a61076
132c01149562
141701761dc6
15c16c1dc7c
hex737edc51a

31003100442 has 12 divisors (see below), whose sum is σ = 67173384330. Its totient is φ = 10334366808.

The previous prime is 31003100437. The next prime is 31003100449. The reversal of 31003100442 is 24400130013.

31003100442 is a `hidden beast` number, since 310 + 0 + 310 + 0 + 4 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30792879441 + 210221001 = 175479^2 + 14499^2 .

It is a super-2 number, since 2×310031004422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1722394469 = 31003100442 / (3 + 1 + 0 + 0 + 3 + 1 + 0 + 0 + 4 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (31003100449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 861197217 + ... + 861197252.

Almost surely, 231003100442 is an apocalyptic number.

31003100442 is an abundant number, since it is smaller than the sum of its proper divisors (36170283888).

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

31003100442 is a wasteful number, since it uses less digits than its factorization.

31003100442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722394477 (or 1722394474 counting only the distinct ones).

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

Adding to 31003100442 its reverse (24400130013), we get a palindrome (55403230455).

The spelling of 31003100442 in words is "thirty-one billion, three million, one hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 1722394469 3444788938 5167183407 10334366814 15501550221 31003100442