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311321002132 = 227318910737663
BaseRepresentation
bin1001000011111000010…
…11011000000010010100
31002202120111101112010101
410201330023120002110
520100041134032012
6355004025303444
731330552566430
oct4417413300224
91082514345111
10311321002132
11110037653808
1250404934b84
13234853c863a
14110d48d19c0
158171509d57
hex487c2d8094

311321002132 has 96 divisors (see below), whose sum is σ = 656040591360. Its totient is φ = 126472008960.

The previous prime is 311321002121. The next prime is 311321002171. The reversal of 311321002132 is 231200123113.

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, 8247133 + ... + 8284795.

It is an arithmetic number, because the mean of its divisors is an integer number (6833756160).

Almost surely, 2311321002132 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 311321002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328020295680).

311321002132 is an abundant number, since it is smaller than the sum of its proper divisors (344719589228).

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

311321002132 is a wasteful number, since it uses less digits than its factorization.

311321002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37901 (or 37899 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 311321002132 its reverse (231200123113), we get a palindrome (542521125245).

The spelling of 311321002132 in words is "three hundred eleven billion, three hundred twenty-one million, two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 89 107 124 178 214 217 356 428 434 623 749 868 1246 1498 2492 2759 2996 3317 5518 6634 9523 11036 13268 19046 19313 23219 37663 38092 38626 46438 66661 75326 77252 92876 133322 150652 263641 266644 295213 527282 590426 1054564 1167553 1180852 2066491 2335106 3352007 4029941 4132982 4670212 6704014 8059882 8172871 8265964 13408028 16119764 16345742 23464049 28209587 32691484 46928098 56419174 93856196 103912217 112838348 124928171 207824434 249856342 358664749 415648868 499712684 717329498 727385519 874497197 1434658996 1454771038 1748994394 2510653243 2909542076 3497988788 5021306486 10042612972 11118607219 22237214438 44474428876 77830250533 155660501066 311321002132