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100130330232 = 233229139345001
BaseRepresentation
bin101110101000000111…
…0111001011001111000
3100120110020212210201100
41131100032321121320
53120031331031412
6113555500251400
710143215523012
oct1352016713170
9316406783640
10100130330232
1139512a63139
12174a5540b60
13959981261a
144bbc4a91b2
1529108d0edc
hex17503b9678

100130330232 has 96 divisors (see below), whose sum is σ = 282556638000. Its totient is φ = 31993920000.

The previous prime is 100130330227. The next prime is 100130330263. The reversal of 100130330232 is 232033031001.

100130330232 is a `hidden beast` number, since 100 + 1 + 3 + 0 + 330 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 117732 + ... + 462732.

Almost surely, 2100130330232 is an apocalyptic number.

100130330232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100130330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141278319000).

100130330232 is an abundant number, since it is smaller than the sum of its proper divisors (182426307768).

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

100130330232 is a wasteful number, since it uses less digits than its factorization.

100130330232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345181 (or 345174 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100130330232 its reverse (232033031001), we get a palindrome (332163361233).

The spelling of 100130330232 in words is "one hundred billion, one hundred thirty million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 139 174 232 261 278 348 417 522 556 696 834 1044 1112 1251 1668 2088 2502 3336 4031 5004 8062 10008 12093 16124 24186 32248 36279 48372 72558 96744 145116 290232 345001 690002 1035003 1380004 2070006 2760008 3105009 4140012 6210018 8280024 10005029 12420036 20010058 24840072 30015087 40020116 47955139 60030174 80040232 90045261 95910278 120060348 143865417 180090522 191820556 240120696 287730834 360181044 383641112 431596251 575461668 720362088 863192502 1150923336 1390699031 1726385004 2781398062 3452770008 4172097093 5562796124 8344194186 11125592248 12516291279 16688388372 25032582558 33376776744 50065165116 100130330232