Search a number
-
+
123001242 = 2371333143
BaseRepresentation
bin1110101010011…
…01100110011010
322120110002222120
413111031212122
5222442014432
620112202110
73022331130
oct725154632
9276402876
10123001242
1163481721
1235239336
131c638000
141249b750
15abe9c2c
hex754d99a

123001242 has 128 divisors (see below), whose sum is σ = 321699840. Its totient is φ = 30663360.

The previous prime is 123001237. The next prime is 123001243. The reversal of 123001242 is 242100321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2860473 + ... + 2860515.

It is an arithmetic number, because the mean of its divisors is an integer number (2513280).

Almost surely, 2123001242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123001242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160849920).

123001242 is an abundant number, since it is smaller than the sum of its proper divisors (198698598).

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

123001242 is a wasteful number, since it uses less digits than its factorization.

123001242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 123001242 is about 11090.5924999524. The cubic root of 123001242 is about 497.3206572241.

Adding to 123001242 its reverse (242100321), we get a palindrome (365101563).

The spelling of 123001242 in words is "one hundred twenty-three million, one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 43 62 78 86 91 93 129 169 182 186 217 258 273 301 338 403 434 507 546 559 602 651 806 903 1014 1118 1183 1209 1302 1333 1677 1806 2197 2366 2418 2666 2821 3354 3549 3913 3999 4394 5239 5642 6591 7098 7267 7826 7998 8463 9331 10478 11739 13182 14534 15379 15717 16926 17329 18662 21801 23478 27993 30758 31434 34658 36673 43602 46137 50869 51987 55986 68107 73346 92274 94471 101738 103974 110019 121303 136214 152607 188942 204321 220038 225277 242606 283413 305214 363909 408642 450554 476749 566826 661297 675831 727818 953498 1322594 1351662 1430247 1576939 1983891 2860494 2928601 3153878 3967782 4730817 5857202 8785803 9461634 17571606 20500207 41000414 61500621 123001242