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2121105012 = 2231316078461
BaseRepresentation
bin111111001101101…
…0111111001110100
312110211020022001220
41332123113321310
513321000330022
6550250350340
7103364044425
oct17633277164
95424208056
102121105012
11999343654
124b242b3b0
1327a59a230
141619c164c
15c633585c
hex7e6d7e74

2121105012 has 48 divisors (see below), whose sum is σ = 5333903232. Its totient is φ = 652164480.

The previous prime is 2121104987. The next prime is 2121105013. The reversal of 2121105012 is 2105011212.

It is a junction number, because it is equal to n+sod(n) for n = 2121104982 and 2121105000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121105013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246462 + ... + 254922.

It is an arithmetic number, because the mean of its divisors is an integer number (111122984).

Almost surely, 22121105012 is an apocalyptic number.

It is an amenable number.

2121105012 is an abundant number, since it is smaller than the sum of its proper divisors (3212798220).

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

2121105012 is a wasteful number, since it uses less digits than its factorization.

2121105012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 2121105012 is about 46055.4558331584. The cubic root of 2121105012 is about 1284.8548160196.

Adding to 2121105012 its reverse (2105011212), we get a palindrome (4226116224).

The spelling of 2121105012 in words is "two billion, one hundred twenty-one million, one hundred five thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1607 3214 4821 6428 8461 9642 16922 19284 20891 25383 33844 41782 50766 62673 83564 101532 109993 125346 219986 250692 329979 439972 659958 1319916 13596827 27193654 40790481 54387308 81580962 163161924 176758751 353517502 530276253 707035004 1060552506 2121105012