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121144323220 = 22517356306833
BaseRepresentation
bin111000011010011000…
…0111010110010010100
3102120200202102020211221
41300310300322302110
53441100421320340
6131353011140124
711516032520464
oct1606460726224
9376622366757
10121144323220
11474168a3098
121b58aba4644
13b5682b65bb
145c13301ba4
15324069444a
hex1c34c3ac94

121144323220 has 24 divisors (see below), whose sum is σ = 269367966504. Its totient is φ = 45607274496.

The previous prime is 121144323173. The next prime is 121144323227. The reversal of 121144323220 is 22323441121.

It can be written as a sum of positive squares in 4 ways, for example, as 67336098064 + 53808225156 = 259492^2 + 231966^2 .

It is a super-3 number, since 3×1211443232203 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121144323227) 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 7 ways as a sum of consecutive naturals, for example, 178153077 + ... + 178153756.

It is an arithmetic number, because the mean of its divisors is an integer number (11223665271).

Almost surely, 2121144323220 is an apocalyptic number.

121144323220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121144323220 is an abundant number, since it is smaller than the sum of its proper divisors (148223643284).

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

121144323220 is a wasteful number, since it uses less digits than its factorization.

121144323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356306859 (or 356306857 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 121144323220 its reverse (22323441121), we get a palindrome (143467764341).

It can be divided in two parts, 12114 and 4323220, that added together give a palindrome (4335334).

The spelling of 121144323220 in words is "one hundred twenty-one billion, one hundred forty-four million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 356306833 712613666 1425227332 1781534165 3563068330 6057216161 7126136660 12114432322 24228864644 30286080805 60572161610 121144323220