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100331301304 = 231337151172673
BaseRepresentation
bin101110101110000110…
…1100010100110111000
3100120222021001012012101
41131130031202212320
53120434303120204
6114031435553144
710151205663343
oct1353415424670
9316867035171
10100331301304
1139606449733
12175408bb7b4
1395cc349910
144bdb06145a
15292337cea4
hex175c3629b8

100331301304 has 64 divisors (see below), whose sum is σ = 209446655040. Its totient is φ = 44756582400.

The previous prime is 100331301289. The next prime is 100331301307. The reversal of 100331301304 is 403103133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331301307) 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 15 ways as a sum of consecutive naturals, for example, 494712 + ... + 667384.

It is an arithmetic number, because the mean of its divisors is an integer number (3272603985).

Almost surely, 2100331301304 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 100331301304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104723327520).

100331301304 is an abundant number, since it is smaller than the sum of its proper divisors (109115353736).

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

100331301304 is a wasteful number, since it uses less digits than its factorization.

100331301304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172880 (or 172876 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100331301304 its reverse (403103133001), we get a palindrome (503434434305).

The spelling of 100331301304 in words is "one hundred billion, three hundred thirty-one million, three hundred one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 151 296 302 481 604 962 1208 1924 1963 3848 3926 5587 7852 11174 15704 22348 44696 72631 145262 172673 290524 345346 581048 690692 1381384 2244749 4489498 6388901 8978996 12777802 17957992 25555604 26073623 51111208 52147246 83055713 104294492 166111426 208588984 332222852 338957099 664445704 677914198 964724051 1355828396 1929448102 2711656792 3858896204 7717792408 12541412663 25082825326 50165650652 100331301304