Search a number
-
+
3123101323212 = 223131571016312547
BaseRepresentation
bin101101011100100111010…
…110000100111111001100
3102001120021022010102121020
4231130213112010333030
5402132102414320322
610350422152034140
7441431235145113
oct55344726047714
912046238112536
103123101323212
11aa4555306932
12425340392950
131986793b6660
14ab23209cc7a
155638bb0505c
hex2d727584fcc

3123101323212 has 96 divisors (see below), whose sum is σ = 7899185640192. Its totient is φ = 954663480576.

The previous prime is 3123101323193. The next prime is 3123101323217. The reversal of 3123101323212 is 2123231013213.

It is not an unprimeable number, because it can be changed into a prime (3123101323217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248905923 + ... + 248918469.

It is an arithmetic number, because the mean of its divisors is an integer number (82283183752).

Almost surely, 23123101323212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123101323212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949592820096).

3123101323212 is an abundant number, since it is smaller than the sum of its proper divisors (4776084316980).

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

3123101323212 is a wasteful number, since it uses less digits than its factorization.

3123101323212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22887 (or 22885 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3123101323212 its reverse (2123231013213), we get a palindrome (5246332336425).

The spelling of 3123101323212 in words is "three trillion, one hundred twenty-three billion, one hundred one million, three hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1884 2041 4082 6123 8164 10163 12246 12547 20326 24492 25094 30489 37641 40652 50188 60978 75282 121956 132119 150564 163111 264238 326222 396357 489333 528476 652444 792714 978666 1585428 1595591 1957332 1969879 3191182 3939758 4786773 5909637 6382364 7879516 9573546 11819274 19147092 20742683 23638548 25608427 41485366 51216854 62228049 76825281 82970732 102433708 124456098 127515161 153650562 248912196 255030322 307301124 382545483 510060644 765090966 1530181932 1657697093 3315394186 4973091279 6630788372 9946182558 19892365116 20019880277 40039760554 60059640831 80079521108 120119281662 240238563324 260258443601 520516887202 780775330803 1041033774404 1561550661606 3123101323212