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123011122113 = 321111332033433
BaseRepresentation
bin111001010010000001…
…0001100001111000001
3102202111212010110111200
41302210002030033001
54003411321401423
6132302135131413
711613221200035
oct1624402141701
9382455113450
10123011122113
11481946317a0
121ba10213b69
13b7a4c94129
145d4d2061c5
1532ee4e4d43
hex1ca408c3c1

123011122113 has 48 divisors (see below), whose sum is σ = 195669100224. Its totient is φ = 73847854080.

The previous prime is 123011122109. The next prime is 123011122133. The reversal of 123011122113 is 311221110321.

It is not a de Polignac number, because 123011122113 - 22 = 123011122109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123011122133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35830245 + ... + 35833677.

It is an arithmetic number, because the mean of its divisors is an integer number (4076439588).

Almost surely, 2123011122113 is an apocalyptic number.

It is an amenable number.

123011122113 is a deficient number, since it is larger than the sum of its proper divisors (72657978111).

123011122113 is a wasteful number, since it uses less digits than its factorization.

123011122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123011122113 its reverse (311221110321), we get a palindrome (434232232434).

The spelling of 123011122113 in words is "one hundred twenty-three billion, eleven million, one hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 99 113 339 1017 1243 3203 3433 3729 9609 10299 11187 28827 30897 35233 37763 105699 113289 317097 339867 361939 387929 1085817 1163787 3257451 3491361 3981329 4267219 10995899 11943987 12801657 32987697 35831961 38404971 98963091 120954889 362864667 1088594001 1242536587 3727609761 11182829283 13667902457 41003707371 123011122113