Search a number
-
+
100313330312 = 231317232466883
BaseRepresentation
bin101110101101100100…
…0111111001010001000
3100120221000020011122002
41131123020333022020
53120420203032222
6114025554450132
710150600144646
oct1353310771210
9316830204562
10100313330312
11395a7294878
1217536893948
1395c86c6bb0
144bd8904196
1529219cd392
hex175b23f288

100313330312 has 64 divisors (see below), whose sum is σ = 223795716480. Its totient is φ = 41680438272.

The previous prime is 100313330309. The next prime is 100313330339. The reversal of 100313330312 is 213033313001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1192778 + ... + 1274105.

It is an arithmetic number, because the mean of its divisors is an integer number (3496808070).

Almost surely, 2100313330312 is an apocalyptic number.

It is an amenable number.

100313330312 is an abundant number, since it is smaller than the sum of its proper divisors (123482386168).

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

100313330312 is a wasteful number, since it uses less digits than its factorization.

100313330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466942 (or 2466938 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 100313330312 its reverse (213033313001), we get a palindrome (313346643313).

The spelling of 100313330312 in words is "one hundred billion, three hundred thirteen million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 391 442 598 782 884 1196 1564 1768 2392 3128 5083 10166 20332 40664 2466883 4933766 9867532 19735064 32069479 41937011 56738309 64138958 83874022 113476618 128277916 167748044 226953236 256555832 335496088 453906472 545181143 737598017 964551253 1090362286 1475196034 1929102506 2180724572 2950392068 3858205012 4361449144 5900784136 7716410024 12539166289 25078332578 50156665156 100313330312