Search a number
-
+
122334114552 = 2331319147114029
BaseRepresentation
bin111000111101110101…
…1100111001011111000
3102200202200012220201120
41301323223213023320
54001020013131202
6132111032345240
711560360550046
oct1617353471370
9380680186646
10122334114552
1147977466a11
121b861545220
13b6c7945240
145cc7335396
1532aed650bc
hex1c7bae72f8

122334114552 has 128 divisors (see below), whose sum is σ = 346956288000. Its totient is φ = 35633364480.

The previous prime is 122334114527. The next prime is 122334114559. The reversal of 122334114552 is 255411433221.

It is a super-3 number, since 3×1223341145523 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122334114559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8713074 + ... + 8727102.

It is an arithmetic number, because the mean of its divisors is an integer number (2710596000).

Almost surely, 2122334114552 is an apocalyptic number.

122334114552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122334114552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173478144000).

122334114552 is an abundant number, since it is smaller than the sum of its proper divisors (224622173448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122334114552 is a wasteful number, since it uses less digits than its factorization.

122334114552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15541 (or 15537 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

Adding to 122334114552 its reverse (255411433221), we get a palindrome (377745547773).

The spelling of 122334114552 in words is "one hundred twenty-two billion, three hundred thirty-four million, one hundred fourteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1471 1482 1976 2942 2964 4413 5884 5928 8826 11768 14029 17652 19123 27949 28058 35304 38246 42087 55898 56116 57369 76492 83847 84174 111796 112232 114738 152984 167694 168348 182377 223592 229476 266551 335388 336696 363337 364754 458952 533102 547131 670776 726674 729508 799653 1066204 1090011 1094262 1453348 1459016 1599306 2132408 2180022 2188524 2906696 3198612 3465163 4360044 4377048 6397224 6930326 8720088 10395489 13860652 20636659 20790978 27721304 41273318 41581956 61909977 82546636 83163912 123819954 165093272 247639908 268276567 392096521 495279816 536553134 784193042 804829701 1073106268 1176289563 1568386084 1609659402 2146212536 2352579126 3136772168 3219318804 4705158252 5097254773 6438637608 9410316504 10194509546 15291764319 20389019092 30583528638 40778038184 61167057276 122334114552