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122111300233 = 13317160718439
BaseRepresentation
bin111000110111001100…
…1101001001010001001
3102200012010221202221101
41301232121221022021
54000040443101413
6132032552541401
711552013632446
oct1615631511211
9380163852841
10122111300233
114787271124a
121b7ba9b1861
13b690730850
145ca58d49cd
15329a500edd
hex1c6e669289

122111300233 has 16 divisors (see below), whose sum is σ = 132008567040. Its totient is φ = 112286534976.

The previous prime is 122111300221. The next prime is 122111300243. The reversal of 122111300233 is 332003111221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122111300233 is a prime.

It is a super-3 number, since 3×1221113002333 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122111300233.

It is not an unprimeable number, because it can be changed into a prime (122111300243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6613228 + ... + 6631666.

It is an arithmetic number, because the mean of its divisors is an integer number (8250535440).

Almost surely, 2122111300233 is an apocalyptic number.

122111300233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122111300233 is a deficient number, since it is larger than the sum of its proper divisors (9897266807).

122111300233 is a wasteful number, since it uses less digits than its factorization.

122111300233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20376.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 122111300233 its reverse (332003111221), we get a palindrome (454114411454).

The spelling of 122111300233 in words is "one hundred twenty-two billion, one hundred eleven million, three hundred thousand, two hundred thirty-three".

Divisors: 1 13 317 1607 4121 18439 20891 239707 509419 5845163 6622447 29631473 75987119 385209149 9393176941 122111300233