Search a number
-
+
122232003102 = 233113116993907
BaseRepresentation
bin111000111010110011…
…0000101101000011110
3102200111120002010011000
41301311212011220132
54000312343044402
6132052544011130
711555010612036
oct1616546055036
9380446063130
10122232003102
1147924863090
121b833300aa6
13b6ac742671
145cb79548c6
1532a5de4c1c
hex1c75985a1e

122232003102 has 128 divisors (see below), whose sum is σ = 306137088000. Its totient is φ = 35814895200.

The previous prime is 122232003079. The next prime is 122232003107. The reversal of 122232003102 is 201300232221.

122232003102 is a `hidden beast` number, since 12 + 22 + 320 + 0 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122232003107) 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 63 ways as a sum of consecutive naturals, for example, 31283433 + ... + 31287339.

It is an arithmetic number, because the mean of its divisors is an integer number (2391696000).

Almost surely, 2122232003102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122232003102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153068544000).

122232003102 is an abundant number, since it is smaller than the sum of its proper divisors (183905084898).

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

122232003102 is a wasteful number, since it uses less digits than its factorization.

122232003102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122232003102 its reverse (201300232221), we get a palindrome (323532235323).

The spelling of 122232003102 in words is "one hundred twenty-two billion, two hundred thirty-two million, three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 1699 2046 3069 3398 3907 5097 6138 7814 9207 10194 11721 15291 18414 18689 23442 30582 35163 37378 42977 45873 52669 56067 70326 85954 91746 105338 105489 112134 121117 128931 158007 168201 210978 242234 257862 316014 336402 363351 386793 474021 504603 579359 726702 773586 948042 1009206 1090053 1158718 1160379 1332287 1422063 1738077 2180106 2320758 2664574 2844126 3270159 3476154 3996861 5214231 6540318 6637993 7993722 10428462 11990583 13275986 15642693 19913979 23981166 31285386 35971749 39827958 59741937 71943498 73017923 119483874 146035846 179225811 205777783 219053769 358451622 411555566 438107538 617333349 657161307 1234666698 1314322614 1852000047 1971483921 2263555613 3704000094 3942967842 4527111226 5556000141 6790666839 11112000282 13581333678 20372000517 40744001034 61116001551 122232003102