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2220795712107 = 337231359737573
BaseRepresentation
bin100000010100010001101…
…111010101001001101011
321212022021001221011112000
4200110101233111021223
5242341142200241412
64420115223222043
7316306250043240
oct40242157251153
97768231834460
102220795712107
1178691a313315
122ba4a3ba7923
1313156006c42b
14796b67c75c7
153cb7be994dc
hex20511bd526b

2220795712107 has 64 divisors (see below), whose sum is σ = 3923952015360. Its totient is φ = 1213729494912.

The previous prime is 2220795712099. The next prime is 2220795712111. The reversal of 2220795712107 is 7012175970222.

2220795712107 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 79 + 571 + 2 + 1 + 0 + 7 = 666.

It is not a de Polignac number, because 2220795712107 - 23 = 2220795712099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2220795712607) 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 63 ways as a sum of consecutive naturals, for example, 59087373 + ... + 59124945.

It is an arithmetic number, because the mean of its divisors is an integer number (61311750240).

Almost surely, 22220795712107 is an apocalyptic number.

2220795712107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2220795712107 is a deficient number, since it is larger than the sum of its proper divisors (1703156303253).

2220795712107 is a wasteful number, since it uses less digits than its factorization.

2220795712107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51209 (or 51203 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 2220795712107 in words is "two trillion, two hundred twenty billion, seven hundred ninety-five million, seven hundred twelve thousand, one hundred seven".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 13597 37573 40791 95179 112719 122373 263011 285537 312731 338157 367119 789033 856611 864179 938193 1014471 2189117 2367099 2569833 2592537 2814579 6049253 6567351 7101297 7777611 8443737 18147759 19702053 23332833 54443277 59106159 163329831 510880081 1532640243 3576160567 4597920729 10728481701 11750241863 13793762187 32185445103 35250725589 82251693041 96556335309 105752176767 246755079123 317256530301 740265237369 2220795712107