Search a number
-
+
123363032331 = 37112112530991
BaseRepresentation
bin111001011100100000…
…0100111110100001011
3102210102101022100120110
41302321000213310023
54010121414013311
6132401105525403
711625023321250
oct1627100476413
9383371270513
10123363032331
1148355241090
121baaa043863
13b82cb68926
145d83c4d427
1533203598a6
hex1cb9027d0b

123363032331 has 32 divisors (see below), whose sum is σ = 206042996736. Its totient is φ = 63780948000.

The previous prime is 123363032321. The next prime is 123363032357. The reversal of 123363032331 is 133230363321.

It is a happy number.

It is not a de Polignac number, because 123363032331 - 29 = 123363031819 is a prime.

It is a super-2 number, since 2×1233630323312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123363032321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1216755 + ... + 1314236.

It is an arithmetic number, because the mean of its divisors is an integer number (6438843648).

Almost surely, 2123363032331 is an apocalyptic number.

123363032331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123363032331 is a deficient number, since it is larger than the sum of its proper divisors (82679964405).

123363032331 is a wasteful number, since it uses less digits than its factorization.

123363032331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531223.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 123363032331 its reverse (133230363321), we get a palindrome (256593395652).

The spelling of 123363032331 in words is "one hundred twenty-three billion, three hundred sixty-three million, thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 211 231 633 1477 2321 4431 6963 16247 48741 2530991 7592973 17716937 27840901 53150811 83522703 194886307 534039101 584658921 1602117303 3738273707 5874430111 11214821121 17623290333 41121010777 123363032331