Search a number
-
+
331012212102 = 2321113283745329
BaseRepresentation
bin1001101000100011101…
…11011000010110000110
31011122101210212122002100
410310101313120112012
520410403111241402
6412022004252530
732625535244025
oct4642167302606
91148353778070
10331012212102
11118421845260
125419b3a1146
13252a2b18580
1412041b968bc
1589250cc71c
hex4d11dd8586

331012212102 has 96 divisors (see below), whose sum is σ = 842892130080. Its totient is φ = 92556149760.

The previous prime is 331012212101. The next prime is 331012212131. The reversal of 331012212102 is 201212210133.

331012212102 is a `hidden beast` number, since 331 + 0 + 122 + 1 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331012212101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7279774 + ... + 7325102.

It is an arithmetic number, because the mean of its divisors is an integer number (8780126355).

Almost surely, 2331012212102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331012212102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421446065040).

331012212102 is an abundant number, since it is smaller than the sum of its proper divisors (511879917978).

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

331012212102 is a wasteful number, since it uses less digits than its factorization.

331012212102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48198 (or 48195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 331012212102 its reverse (201212210133), we get a palindrome (532224422235).

The spelling of 331012212102 in words is "three hundred thirty-one billion, twelve million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 2837 5674 8511 17022 25533 31207 36881 45329 51066 62414 73762 90658 93621 110643 135987 187242 221286 271974 280863 331929 405691 407961 498619 561726 589277 663858 811382 815922 997238 1178554 1217073 1495857 1767831 2434146 2991714 3535662 3651219 4487571 5303493 6482047 7302438 8975142 10606986 12964094 19446141 38892282 58338423 116676846 128598373 257196746 385795119 771590238 1157385357 1414582103 1671778849 2314770714 2829164206 3343557698 4243746309 5015336547 8487492618 10030673094 12731238927 15046009641 18389567339 25462477854 30092019282 36779134678 55168702017 110337404034 165506106051 331012212102