Search a number
-
+
123324201 = 36711133
BaseRepresentation
bin1110101100111…
…00011100101001
322121001112000000
413112130130221
5223032333301
620123133213
73025144530
oct726343451
9277045000
10123324201
1163682330
1235374209
131c71c000
1412543317
15ac60786
hex759c729

123324201 has 112 divisors (see below), whose sum is σ = 249728640. Its totient is φ = 59136480.

The previous prime is 123324199. The next prime is 123324203. The reversal of 123324201 is 102423321.

It is an interprime number because it is at equal distance from previous prime (123324199) and next prime (123324203).

It is not a de Polignac number, because 123324201 - 21 = 123324199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123324203) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9486471 + ... + 9486483.

It is an arithmetic number, because the mean of its divisors is an integer number (2229720).

Almost surely, 2123324201 is an apocalyptic number.

123324201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123324201 is an abundant number, since it is smaller than the sum of its proper divisors (126404439).

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

123324201 is an frugal number, since it uses more digits than its factorization.

123324201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

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

The square root of 123324201 is about 11105.1429977286. The cubic root of 123324201 is about 497.7555412185.

Adding to 123324201 its reverse (102423321), we get a palindrome (225747522).

The spelling of 123324201 in words is "one hundred twenty-three million, three hundred twenty-four thousand, two hundred one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 169 189 231 243 273 297 351 429 507 567 693 729 819 891 1001 1053 1183 1287 1521 1701 1859 2079 2197 2457 2673 3003 3159 3549 3861 4563 5103 5577 6237 6591 7371 8019 9009 9477 10647 11583 13013 13689 15379 16731 18711 19773 22113 24167 27027 31941 34749 39039 41067 46137 50193 56133 59319 66339 72501 81081 95823 104247 117117 123201 138411 150579 169169 177957 217503 243243 287469 351351 415233 451737 507507 533871 652509 729729 862407 1054053 1245699 1355211 1522521 1601613 1957527 3162159 3737097 4567563 5872581 9486477 11211291 13702689 17617743 41108067 123324201