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100103212032 = 2103311051151
BaseRepresentation
bin101110100111010011…
…1011100110000000000
3100120101100212001112120
41131032213130300000
53120002410241112
6113553051124240
710142436156135
oct1351647346000
9316340761476
10100103212032
11394a97208aa
1217498443680
139594009255
144bb8a4a58c
15290d325e8c
hex174e9dcc00

100103212032 has 88 divisors (see below), whose sum is σ = 275418642432. Its totient is φ = 32291328000.

The previous prime is 100103212031. The next prime is 100103212039. The reversal of 100103212032 is 230212301001.

It is not an unprimeable number, because it can be changed into a prime (100103212031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430344 + ... + 620807.

Almost surely, 2100103212032 is an apocalyptic number.

100103212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100103212032 is an abundant number, since it is smaller than the sum of its proper divisors (175315430400).

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

100103212032 is a wasteful number, since it uses less digits than its factorization.

100103212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051205 (or 1051187 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100103212032 its reverse (230212301001), we get a palindrome (330315513033).

The spelling of 100103212032 in words is "one hundred billion, one hundred three million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2976 3072 3968 5952 7936 11904 15872 23808 31744 47616 95232 1051151 2102302 3153453 4204604 6306906 8409208 12613812 16818416 25227624 32585681 33636832 50455248 65171362 67273664 97757043 100910496 130342724 134547328 195514086 201820992 260685448 269094656 391028172 403641984 521370896 538189312 782056344 807283968 1042741792 1076378624 1564112688 1614567936 2085483584 3128225376 3229135872 4170967168 6256450752 8341934336 12512901504 16683868672 25025803008 33367737344 50051606016 100103212032