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31242400220 = 2251562120011
BaseRepresentation
bin11101000110001100…
…010011000111011100
32222122100002101002002
4131012030103013130
51002441023301340
622204053021432
72154134006633
oct350614230734
988570071062
1031242400220
111228257a779
12607b024878
132c3b8b3765
14172545451a
15c2cc3c715
hex7463131dc

31242400220 has 12 divisors (see below), whose sum is σ = 65609040504. Its totient is φ = 12496960080.

The previous prime is 31242400187. The next prime is 31242400223. The reversal of 31242400220 is 2200424213.

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: 1562120011 = 31242400220 / (3 + 1 + 2 + 4 + 2 + 4 + 0 + 0 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 31242400192 and 31242400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31242400223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 781059986 + ... + 781060025.

It is an arithmetic number, because the mean of its divisors is an integer number (5467420042).

Almost surely, 231242400220 is an apocalyptic number.

It is an amenable number.

31242400220 is an abundant number, since it is smaller than the sum of its proper divisors (34366640284).

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

31242400220 is a wasteful number, since it uses less digits than its factorization.

31242400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562120020 (or 1562120018 counting only the distinct ones).

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

Adding to 31242400220 its reverse (2200424213), we get a palindrome (33442824433).

The spelling of 31242400220 in words is "thirty-one billion, two hundred forty-two million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1562120011 3124240022 6248480044 7810600055 15621200110 31242400220