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122041031213 = 17371571235821
BaseRepresentation
bin111000110101000110…
…1100101101000101101
3102200000020201201222002
41301222031211220231
53444420000444323
6132022002502045
711550201435503
oct1615215455055
9380006651862
10122041031213
1147836a87082
121b79b364925
13b67bcc974a
145c9a442673
153294270828
hex1c6a365a2d

122041031213 has 16 divisors (see below), whose sum is σ = 133557755184. Its totient is φ = 111045841920.

The previous prime is 122041031207. The next prime is 122041031237. The reversal of 122041031213 is 312130140221.

It can be written as a sum of positive squares in 8 ways, for example, as 39641606404 + 82399424809 = 199102^2 + 287053^2 .

It is a cyclic number.

It is not a de Polignac number, because 122041031213 - 28 = 122041030957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122041031813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519158 + ... + 716663.

It is an arithmetic number, because the mean of its divisors is an integer number (8347359699).

Almost surely, 2122041031213 is an apocalyptic number.

It is an amenable number.

122041031213 is a deficient number, since it is larger than the sum of its proper divisors (11516723971).

122041031213 is a wasteful number, since it uses less digits than its factorization.

122041031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236032.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122041031213 its reverse (312130140221), we get a palindrome (434171171434).

The spelling of 122041031213 in words is "one hundred twenty-two billion, forty-one million, thirty-one thousand, two hundred thirteen".

Divisors: 1 17 37 157 629 2669 5809 98753 1235821 21008957 45725377 194023897 777331409 3298406249 7178884189 122041031213