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122421431304 = 23322417055177
BaseRepresentation
bin111001000000011100…
…0101100110000001000
3102200222202112001210100
41302000320230300020
54001204341300204
6132123432045400
711562500665614
oct1620070546010
9380882461710
10122421431304
1147a11785317
121b886833860
13b70ca67a63
145cd4b84344
1532b7861a39
hex1c80e2cc08

122421431304 has 48 divisors (see below), whose sum is σ = 332933849820. Its totient is φ = 40637813760.

The previous prime is 122421431303. The next prime is 122421431311. The reversal of 122421431304 is 403134124221.

122421431304 is a `hidden beast` number, since 1 + 224 + 2 + 1 + 431 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92840871204 + 29580560100 = 304698^2 + 171990^2 .

It is a super-2 number, since 2×1224214313042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122421431303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3510237 + ... + 3544940.

Almost surely, 2122421431304 is an apocalyptic number.

It is an amenable number.

122421431304 is an abundant number, since it is smaller than the sum of its proper divisors (210512418516).

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

122421431304 is a wasteful number, since it uses less digits than its factorization.

122421431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055430 (or 7055423 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122421431304 its reverse (403134124221), we get a palindrome (525555555525).

The spelling of 122421431304 in words is "one hundred twenty-two billion, four hundred twenty-one million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 241 482 723 964 1446 1928 2169 2892 4338 5784 8676 17352 7055177 14110354 21165531 28220708 42331062 56441416 63496593 84662124 126993186 169324248 253986372 507972744 1700297657 3400595314 5100892971 6801190628 10201785942 13602381256 15302678913 20403571884 30605357826 40807143768 61210715652 122421431304