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100313122011 = 31714633134417
BaseRepresentation
bin101110101101100100…
…0001100010011011011
3100120220222211120220020
41131123020030103123
53120420124401021
6114025550201523
710150565316444
oct1353310142333
9316828746806
10100313122011
11395a7162323
12175367b32a3
1395c865313b
144bd888c2cb
15292198b7c6
hex175b20c4db

100313122011 has 16 divisors (see below), whose sum is σ = 141629256864. Its totient is φ = 62936797184.

The previous prime is 100313121989. The next prime is 100313122027. The reversal of 100313122011 is 110221313001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100313122011 - 213 = 100313113819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100313122111) 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, 679075 + ... + 813491.

It is an arithmetic number, because the mean of its divisors is an integer number (8851828554).

Almost surely, 2100313122011 is an apocalyptic number.

100313122011 is a deficient number, since it is larger than the sum of its proper divisors (41316134853).

100313122011 is a wasteful number, since it uses less digits than its factorization.

100313122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149070.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100313122011 its reverse (110221313001), we get a palindrome (210534435012).

The spelling of 100313122011 in words is "one hundred billion, three hundred thirteen million, one hundred twenty-two thousand, eleven".

Divisors: 1 3 17 51 14633 43899 134417 248761 403251 746283 2285089 6855267 1966923961 5900771883 33437707337 100313122011