Search a number
-
+
31242002420 = 2251562100121
BaseRepresentation
bin11101000110001010…
…110001111111110100
32222122022100011101202
4131012022301333310
51002440423034140
622204040312032
72154130432106
oct350612617764
988568304352
1031242002420
1112282328912
12607aa72618
132c3b7a4685
14172538d576
15c2cbae915
hex7462b1ff4

31242002420 has 12 divisors (see below), whose sum is σ = 65608205124. Its totient is φ = 12496800960.

The previous prime is 31242002387. The next prime is 31242002431. The reversal of 31242002420 is 2420024213.

It can be written as a sum of positive squares in 2 ways, for example, as 6228682084 + 25013320336 = 78922^2 + 158156^2 .

It is a super-2 number, since 2×312420024202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1562100121 = 31242002420 / (3 + 1 + 2 + 4 + 2 + 0 + 0 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 31242002392 and 31242002401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 781050041 + ... + 781050080.

It is an arithmetic number, because the mean of its divisors is an integer number (5467350427).

Almost surely, 231242002420 is an apocalyptic number.

It is an amenable number.

31242002420 is an abundant number, since it is smaller than the sum of its proper divisors (34366202704).

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

31242002420 is a wasteful number, since it uses less digits than its factorization.

31242002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562100130 (or 1562100128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 31242002420 its reverse (2420024213), we get a palindrome (33662026633).

The spelling of 31242002420 in words is "thirty-one billion, two hundred forty-two million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1562100121 3124200242 6248400484 7810500605 15621001210 31242002420