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122011332132003 = 33115738632163181
BaseRepresentation
bin11011101111011111111010…
…000111000011110010100011
3121000000011120112000211121020
4123233133322013003302203
5111443013202011211003
61111255122052500523
734462012360213026
oct3357377207036243
9530004515024536
10122011332132003
1135970796183546
121182674431a743
1353108086569a2
14221b5469691bd
15e18bdc42bd53
hex6ef7fa1c3ca3

122011332132003 has 32 divisors (see below), whose sum is σ = 169043016855552. Its totient is φ = 78195322857600.

The previous prime is 122011332131957. The next prime is 122011332132031. The reversal of 122011332132003 is 300231233110221.

It is not a de Polignac number, because 122011332132003 - 28 = 122011332131747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122011332132073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55322073 + ... + 57485253.

It is an arithmetic number, because the mean of its divisors is an integer number (5282594276736).

Almost surely, 2122011332132003 is an apocalyptic number.

122011332132003 is a deficient number, since it is larger than the sum of its proper divisors (47031684723549).

122011332132003 is a wasteful number, since it uses less digits than its factorization.

122011332132003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167235.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122011332132003 its reverse (300231233110221), we get a palindrome (422242565242224).

The spelling of 122011332132003 in words is "one hundred twenty-two trillion, eleven billion, three hundred thirty-two million, one hundred thirty-two thousand, three".

Divisors: 1 3 31 93 157 471 3863 4867 11589 14601 119753 359259 606491 1819473 2163181 6489543 18801221 56403663 67058611 201175833 339619417 1018858251 8356368203 10528201927 25069104609 31584605781 259047414293 777142242879 1311949807871 3935849423613 40670444044001 122011332132003