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122444431400 = 2352612222157
BaseRepresentation
bin111001000001001000…
…0011100000000101000
3102201001100210120222202
41302002100130000220
54001231233301100
6132130013035332
711563200331364
oct1620220340050
9381040716882
10122444431400
1147a23764665
121b892485b48
13b71475b895
145cd7c502a4
1532b98a67d5
hex1c8241c028

122444431400 has 24 divisors (see below), whose sum is σ = 284683303470. Its totient is φ = 48977772480.

The previous prime is 122444431399. The next prime is 122444431411. The reversal of 122444431400 is 4134444221.

It can be written as a sum of positive squares in 3 ways, for example, as 82390813444 + 40053617956 = 287038^2 + 200134^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 306110879 + ... + 306111278.

Almost surely, 2122444431400 is an apocalyptic number.

122444431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122444431400 is an abundant number, since it is smaller than the sum of its proper divisors (162238872070).

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

122444431400 is a wasteful number, since it uses less digits than its factorization.

122444431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612222173 (or 612222164 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 122444431400 its reverse (4134444221), we get a palindrome (126578875621).

The spelling of 122444431400 in words is "one hundred twenty-two billion, four hundred forty-four million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 612222157 1224444314 2448888628 3061110785 4897777256 6122221570 12244443140 15305553925 24488886280 30611107850 61222215700 122444431400