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100310222112 = 2531979527993
BaseRepresentation
bin101110101101011110…
…1001000010100100000
3100120220210101020222120
41131122331020110200
53120413404101422
6114025404104240
710150531551102
oct1353275102440
9316823336876
10100310222112
11395a5561611
1217535835080
1395c7b79219
144bd8335572
1529215b745c
hex175af48520

100310222112 has 48 divisors (see below), whose sum is σ = 263447886240. Its totient is φ = 33419781632.

The previous prime is 100310222093. The next prime is 100310222149. The reversal of 100310222112 is 211222013001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 100310222091 and 100310222100.

It is an unprimeable number.

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, 74013 + ... + 453980.

It is an arithmetic number, because the mean of its divisors is an integer number (5488497630).

Almost surely, 2100310222112 is an apocalyptic number.

100310222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100310222112 is an abundant number, since it is smaller than the sum of its proper divisors (163137664128).

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

100310222112 is a wasteful number, since it uses less digits than its factorization.

100310222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529985 (or 529977 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100310222112 its reverse (211222013001), we get a palindrome (311532235113).

The spelling of 100310222112 in words is "one hundred billion, three hundred ten million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1979 3958 5937 7916 11874 15832 23748 31664 47496 63328 94992 189984 527993 1055986 1583979 2111972 3167958 4223944 6335916 8447888 12671832 16895776 25343664 50687328 1044898147 2089796294 3134694441 4179592588 6269388882 8359185176 12538777764 16718370352 25077555528 33436740704 50155111056 100310222112