Search a number
-
+
10312103333101 = 531012577739697
BaseRepresentation
bin1001011000001111100101…
…0000011000110011101101
31100111211100012201022021211
42112003321100120303231
52322423141423124401
633533152002354421
72113011351040243
oct226037120306355
940454305638254
1010312103333101
11331637a54a649
1211a667a65ba11
1359a57265b59b
142791738aa793
1512d394e84951
hex960f9418ced

10312103333101 has 32 divisors (see below), whose sum is σ = 10666864492128. Its totient is φ = 9964447334400.

The previous prime is 10312103333089. The next prime is 10312103333107. The reversal of 10312103333101 is 10133330121301.

It can be written as a sum of positive squares in 16 ways, for example, as 179665776900 + 10132437556201 = 423870^2 + 3183149^2 .

It is not a de Polignac number, because 10312103333101 - 223 = 10312094944493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312103333107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063427485 + ... + 1063437181.

It is an arithmetic number, because the mean of its divisors is an integer number (333339515379).

Almost surely, 210312103333101 is an apocalyptic number.

It is an amenable number.

10312103333101 is a deficient number, since it is larger than the sum of its proper divisors (354761159027).

10312103333101 is a wasteful number, since it uses less digits than its factorization.

10312103333101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10881.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10312103333101 its reverse (10133330121301), we get a palindrome (20445433454402).

The spelling of 10312103333101 in words is "ten trillion, three hundred twelve billion, one hundred three million, three hundred thirty-three thousand, one hundred one".

Divisors: 1 53 101 257 773 5353 9697 13621 25957 40969 78073 198661 513941 979397 1375721 2492129 4137869 7495781 10529033 20064761 51908041 132082837 251705029 397276393 757073881 1063432333 1926415717 13340366537 40124915693 102100033001 194567987417 10312103333101