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100320032112 = 2432090000669
BaseRepresentation
bin101110101101110001…
…0100011010101110000
3100120221110211122202220
41131123202203111300
53120423412011422
6114030354241040
710151011126506
oct1353342432560
9316843748686
10100320032112
1139600051a53
1217538b86180
1395c9c02461
144bd976a676
1529223a3e5c
hex175b8a3570

100320032112 has 20 divisors (see below), whose sum is σ = 259160083080. Its totient is φ = 33440010688.

The previous prime is 100320032083. The next prime is 100320032117. The reversal of 100320032112 is 211230023001.

It is a super-2 number, since 2×1003200321122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100320032091 and 100320032100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320032117) 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 3 ways as a sum of consecutive naturals, for example, 1045000287 + ... + 1045000382.

It is an arithmetic number, because the mean of its divisors is an integer number (12958004154).

Almost surely, 2100320032112 is an apocalyptic number.

100320032112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100320032112 is an abundant number, since it is smaller than the sum of its proper divisors (158840050968).

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

100320032112 is a wasteful number, since it uses less digits than its factorization.

100320032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090000680 (or 2090000674 counting only the distinct ones).

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

Adding to 100320032112 its reverse (211230023001), we get a palindrome (311550055113).

The spelling of 100320032112 in words is "one hundred billion, three hundred twenty million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2090000669 4180001338 6270002007 8360002676 12540004014 16720005352 25080008028 33440010704 50160016056 100320032112