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2012122130100 = 2235217394533751
BaseRepresentation
bin11101010001111011110…
…100110010011010110100
321010100122020202212022120
4131101323310302122310
5230431311231130400
64140204532155540
7265241155624155
oct35217364623264
97110566685276
102012122130100
11706377539625
12285b67768bb0
13117985aba514
146d55c7bd92c
1537517324ca0
hex1d47bd326b4

2012122130100 has 72 divisors (see below), whose sum is σ = 6164195341248. Its totient is φ = 505003200000.

The previous prime is 2012122130071. The next prime is 2012122130143. The reversal of 2012122130100 is 10312212102.

It is a super-2 number, since 2×20121221301002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2012122130100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197261776 + ... + 197271975.

It is an arithmetic number, because the mean of its divisors is an integer number (85613824184).

Almost surely, 22012122130100 is an apocalyptic number.

2012122130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012122130100 is an abundant number, since it is smaller than the sum of its proper divisors (4152073211148).

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

2012122130100 is a wasteful number, since it uses less digits than its factorization.

2012122130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394533785 (or 394533778 counting only the distinct ones).

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

Adding to 2012122130100 its reverse (10312212102), we get a palindrome (2022434342202).

The spelling of 2012122130100 in words is "two trillion, twelve billion, one hundred twenty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 394533751 789067502 1183601253 1578135004 1972668755 2367202506 3945337510 4734405012 5918006265 6707073767 7890675020 9863343775 11836012530 13414147534 19726687550 20121221301 23672025060 26828295068 29590031325 33535368835 39453375100 40242442602 59180062650 67070737670 80484885204 100606106505 118360125300 134141475340 167676844175 201212213010 335353688350 402424426020 503030532525 670707376700 1006061065050 2012122130100