Search a number
-
+
311210022132 = 223331643144563
BaseRepresentation
bin1001000011101011001…
…00000001010011110100
31002202021202120011012000
410201311210001103310
520044324231202012
6354545022455300
731325034353532
oct4416544012364
91082252504160
10311210022132
1110aa8aa428a9
1250393734530
132346840c1b9
14110c3c83152
1581668d6ddc
hex48759014f4

311210022132 has 96 divisors (see below), whose sum is σ = 834168975360. Its totient is φ = 100233508320.

The previous prime is 311210022127. The next prime is 311210022157. The reversal of 311210022132 is 231220012113.

311210022132 is a `hidden beast` number, since 311 + 2 + 100 + 221 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2080483 + ... + 2225045.

It is an arithmetic number, because the mean of its divisors is an integer number (8689260160).

Almost surely, 2311210022132 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 311210022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417084487680).

311210022132 is an abundant number, since it is smaller than the sum of its proper divisors (522958953228).

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

311210022132 is a wasteful number, since it uses less digits than its factorization.

311210022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145250 (or 145242 counting only the distinct ones).

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

Adding to 311210022132 its reverse (231220012113), we get a palindrome (542430034245).

The spelling of 311210022132 in words is "three hundred eleven billion, two hundred ten million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 643 837 1116 1286 1674 1929 2572 3348 3858 5787 7716 11574 17361 19933 23148 34722 39866 59799 69444 79732 119598 144563 179397 239196 289126 358794 433689 538191 578252 717588 867378 1076382 1301067 1734756 2152764 2602134 3903201 4481453 5204268 7806402 8962906 13444359 15612804 17925812 26888718 40333077 53777436 80666154 92954009 120999231 161332308 185908018 241998462 278862027 371816036 483996924 557724054 836586081 1115448108 1673172162 2509758243 2881574279 3346344324 5019516486 5763148558 8644722837 10039032972 11526297116 17289445674 25934168511 34578891348 51868337022 77802505533 103736674044 155605011066 311210022132