Search a number
-
+
310123131102 = 232193724507913
BaseRepresentation
bin1001000001101001100…
…01110111000011011110
31002122111000101100222200
410200310301313003132
520040113010143402
6354245114552330
731256066056161
oct4406461670336
91078430340880
10310123131102
1110a582471554
125012b7386a6
132332419b205
141101d797ad8
15810129021c
hex4834c770de

310123131102 has 48 divisors (see below), whose sum is σ = 726414570960. Its totient is φ = 95286761856.

The previous prime is 310123131047. The next prime is 310123131103. The reversal of 310123131102 is 201131321013.

310123131102 is a `hidden beast` number, since 310 + 12 + 31 + 311 + 0 + 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 (310123131103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12241303 + ... + 12266610.

It is an arithmetic number, because the mean of its divisors is an integer number (15133636895).

Almost surely, 2310123131102 is an apocalyptic number.

310123131102 is an abundant number, since it is smaller than the sum of its proper divisors (416291439858).

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

310123131102 is a wasteful number, since it uses less digits than its factorization.

310123131102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24507977 (or 24507974 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 310123131102 its reverse (201131321013), we get a palindrome (511254452115).

The spelling of 310123131102 in words is "three hundred ten billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1406 2109 4218 6327 12654 24507913 49015826 73523739 147047478 220571217 441142434 465650347 906792781 931300694 1396951041 1813585562 2720378343 2793902082 4190853123 5440756686 8161135029 8381706246 16322270058 17229062839 34458125678 51687188517 103374377034 155061565551 310123131102