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211120202211712 = 277366373404279
BaseRepresentation
bin110000000000001101000000…
…101010000110000110000000
31000200111220010212221202200221
4300000031000222012012000
5210132443133231233322
62025003140523352424
762316634264452103
oct6000150052060600
91020456125852627
10211120202211712
11612a663628aaa2
121b818614682714
1390a571b74a1a1
143a1c3b52dc73a
151961ac33439c7
hexc00340a86180

211120202211712 has 64 divisors (see below), whose sum is σ = 426416912776800. Its totient is φ = 104098354827264.

The previous prime is 211120202211701. The next prime is 211120202211713. The reversal of 211120202211712 is 217112202021112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120202211713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60313989 + ... + 63718267.

Almost surely, 2211120202211712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120202211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213208456388400).

211120202211712 is an abundant number, since it is smaller than the sum of its proper divisors (215296710565088).

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

211120202211712 is an equidigital number, since it uses as much as digits as its factorization.

211120202211712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411003 (or 3410991 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 25.

Adding to 211120202211712 its reverse (217112202021112), we get a palindrome (428232404232824).

The spelling of 211120202211712 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred two million, two hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 6637 9344 13274 26548 53096 106192 212384 424768 484501 849536 969002 1938004 3404279 3876008 6808558 7752016 13617116 15504032 27234232 31008064 54468464 62016128 108936928 217873856 248512367 435747712 497024734 994049468 1988098936 3976197872 7952395744 15904791488 22594199723 31809582976 45188399446 90376798892 180753597784 361507195568 723014391136 1446028782272 1649376579779 2892057564544 3298753159558 6597506319116 13195012638232 26390025276464 52780050552928 105560101105856 211120202211712