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122011031313 = 321719101415559
BaseRepresentation
bin111000110100001101…
…1001001011100010001
3102122221011021120211200
41301220123021130101
53444334311000223
6132015011501413
711546355440313
oct1615033113421
9378834246750
10122011031313
1147821056776
121b7912b7869
13b675a24822
145c964737b3
1532917e6a43
hex1c686c9711

122011031313 has 48 divisors (see below), whose sum is σ = 198371721600. Its totient is φ = 71808422400.

The previous prime is 122011031309. The next prime is 122011031353. The reversal of 122011031313 is 313130110221.

It is not a de Polignac number, because 122011031313 - 22 = 122011031309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122011031353) 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 47 ways as a sum of consecutive naturals, for example, 85828 + ... + 501386.

It is an arithmetic number, because the mean of its divisors is an integer number (4132744200).

Almost surely, 2122011031313 is an apocalyptic number.

It is an amenable number.

122011031313 is a deficient number, since it is larger than the sum of its proper divisors (76360690287).

122011031313 is a wasteful number, since it uses less digits than its factorization.

122011031313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415702 (or 415699 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 122011031313 its reverse (313130110221), we get a palindrome (435141141534).

The spelling of 122011031313 in words is "one hundred twenty-two billion, eleven million, thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 17 19 51 57 101 153 171 303 323 909 969 1717 1919 2907 5151 5757 15453 17271 32623 97869 293607 415559 1246677 3740031 7064503 7895621 21193509 23686863 41971459 63580527 71060589 125914377 134225557 377743131 402676671 713514803 797457721 1208030013 2140544409 2392373163 6421633227 7177119489 13556781257 40670343771 122011031313