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2120106461226 = 2313172237169837
BaseRepresentation
bin11110110110100000001…
…100010100100000101010
321111200100212100020210220
4132312200030110200222
5234213434223224401
64301544035150510
7306113133403035
oct36664014244052
97450325306726
102120106461226
1174814a90a896
122a2a83445436
13124c04815140
1474883dca01c
153a2374b2336
hex1eda031482a

2120106461226 has 64 divisors (see below), whose sum is σ = 4856676185088. Its totient is φ = 611214179328.

The previous prime is 2120106461171. The next prime is 2120106461227. The reversal of 2120106461226 is 6221646010212.

It is not an unprimeable number, because it can be changed into a prime (2120106461227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3289221 + ... + 3880616.

It is an arithmetic number, because the mean of its divisors is an integer number (75885565392).

Almost surely, 22120106461226 is an apocalyptic number.

2120106461226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2120106461226 is an abundant number, since it is smaller than the sum of its proper divisors (2736569723862).

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

2120106461226 is a wasteful number, since it uses less digits than its factorization.

2120106461226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170095.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 2120106461226 in words is "two trillion, one hundred twenty billion, one hundred six million, four hundred sixty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 223 442 446 663 669 1326 1338 2899 3791 5798 7582 8697 11373 17394 22746 49283 98566 147849 295698 7169837 14339674 21509511 43019022 93207881 121887229 186415762 243774458 279623643 365661687 559247286 731323374 1584533977 1598873651 3169067954 3197747302 4753601931 4796620953 9507203862 9593241906 20785357463 27180852067 41570714926 54361704134 62356072389 81542556201 124712144778 163085112402 353351076871 706702153742 1060053230613 2120106461226