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103212213100 = 225210110219031
BaseRepresentation
bin110000000011111101…
…1010110001101101100
3100212102000222200020021
41200013323112031230
53142334311304400
6115225351531524
710312460223163
oct1400773261554
9325360880207
10103212213100
113a854670377
1218005689ba4
13996b166259
144dd19083da
152a4124b71a
hex1807ed636c

103212213100 has 36 divisors (see below), whose sum is σ = 226188054288. Its totient is φ = 40876120000.

The previous prime is 103212213019. The next prime is 103212213103. The reversal of 103212213100 is 1312212301.

It is a super-2 number, since 2×1032122131002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103212213103) 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 11 ways as a sum of consecutive naturals, for example, 5099416 + ... + 5119615.

It is an arithmetic number, because the mean of its divisors is an integer number (6283001508).

Almost surely, 2103212213100 is an apocalyptic number.

103212213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103212213100 is an abundant number, since it is smaller than the sum of its proper divisors (122975841188).

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

103212213100 is a wasteful number, since it uses less digits than its factorization.

103212213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10219146 (or 10219139 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103212213100 its reverse (1312212301), we get a palindrome (104524425401).

The spelling of 103212213100 in words is "one hundred three billion, two hundred twelve million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 10219031 20438062 40876124 51095155 102190310 204380620 255475775 510951550 1021903100 1032122131 2064244262 4128488524 5160610655 10321221310 20642442620 25803053275 51606106550 103212213100