Search a number
-
+
103233123121221 = 3229593666996977
BaseRepresentation
bin10111011110001111010101…
…101000011111100001000101
3111112111222201211212101111200
4113132033111220133201011
5102012332414004334341
61003320350403453113
730513230012216022
oct2736172550374105
9445458654771450
10103233123121221
112a990a157a12a5
12b6b3330087199
13457aac33bc112
141b6c71cd2a549
15be04e5375db6
hex5de3d5a1f845

103233123121221 has 24 divisors (see below), whose sum is σ = 154516519923480. Its totient is φ = 66336851245056.

The previous prime is 103233123121199. The next prime is 103233123121309. The reversal of 103233123121221 is 122121321332301.

103233123121221 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 3 + 312 + 3 + 121 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45689353172100 + 57543769949121 = 6759390^2 + 7585761^2 .

It is not a de Polignac number, because 103233123121221 - 239 = 102683367307333 is a prime.

It is a super-2 number, since 2×1032331231212212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103233123121021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333343716 + ... + 333653261.

It is an arithmetic number, because the mean of its divisors is an integer number (6438188330145).

Almost surely, 2103233123121221 is an apocalyptic number.

It is an amenable number.

103233123121221 is a deficient number, since it is larger than the sum of its proper divisors (51283396802259).

103233123121221 is a wasteful number, since it uses less digits than its factorization.

103233123121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666997605 (or 666997602 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 103233123121221 its reverse (122121321332301), we get a palindrome (225354444453522).

The spelling of 103233123121221 in words is "one hundred three trillion, two hundred thirty-three billion, one hundred twenty-three million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 29 87 261 593 1779 5337 17197 51591 154773 666996977 2000990931 6002972793 19342912333 58028736999 174086210997 395529207361 1186587622083 3559762866249 11470347013469 34411041040407 103233123121221