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2106096213123 = 337127357124571
BaseRepresentation
bin11110101001011101000…
…111011101110010000011
321110100012110120220111000
4132221131013131302003
5234001241112304443
64251305515023043
7305106012302460
oct36513507356203
97410173526430
102106096213123
11742210452051
122a021343aa83
131237b10587c6
1473d15406667
1539bb75078d3
hex1ea5d1ddc83

2106096213123 has 64 divisors (see below), whose sum is σ = 3595107696640. Its totient is φ = 1193624359200.

The previous prime is 2106096213113. The next prime is 2106096213127. The reversal of 2106096213123 is 3213126906012.

2106096213123 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 0 + 9 + 621 + 3 + 1 + 23 = 666.

It is not a de Polignac number, because 2106096213123 - 24 = 2106096213107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2106096213127) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 85702428 + ... + 85726998.

It is an arithmetic number, because the mean of its divisors is an integer number (56173557760).

Almost surely, 22106096213123 is an apocalyptic number.

2106096213123 is a deficient number, since it is larger than the sum of its proper divisors (1489011483517).

2106096213123 is a wasteful number, since it uses less digits than its factorization.

2106096213123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28285 (or 28279 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 2106096213123 in words is "two trillion, one hundred six billion, ninety-six million, two hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 127 189 381 889 1143 2667 3429 3571 8001 10713 24003 24571 24997 32139 73713 74991 96417 171997 221139 224973 453517 515991 663417 674919 1360551 1547973 3120517 3174619 4081653 4643919 9361551 9523857 12244959 21843619 28084653 28571571 65530857 84253959 85714713 87743041 196592571 263229123 589777713 614201287 789687369 1842603861 2369062107 5527811583 11143366207 16583434749 33430098621 78003563449 100290295863 234010690347 300870887589 702032071041 2106096213123