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211221210000999 = 31121039151617341
BaseRepresentation
bin110000000001101011000101…
…001100001110111001100111
31000200212112212021221002221210
4300001223011030032321213
5210141122014230012444
62025121403451042503
762330141326502562
oct6001530514167147
91020775767832853
10211221210000999
116133545957a100
121b834103a40433
1390b20c7c93343
143a232381374d9
151964535c9c7b9
hexc01ac530ee67

211221210000999 has 48 divisors (see below), whose sum is σ = 312598440906752. Its totient is φ = 126755952840000.

The previous prime is 211221210000989. The next prime is 211221210001003. The reversal of 211221210000999 is 999000012122112.

It is a happy number.

It is not a de Polignac number, because 211221210000999 - 28 = 211221210000743 is a prime.

It is a super-2 number, since 2×2112212100009992 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221210000929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341838069 + ... + 342455409.

Almost surely, 2211221210000999 is an apocalyptic number.

211221210000999 is a deficient number, since it is larger than the sum of its proper divisors (101377230905753).

211221210000999 is a wasteful number, since it uses less digits than its factorization.

211221210000999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626620 (or 626609 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 211221210000999 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred ten million, nine hundred ninety-nine", and thus it is an aban number.

Divisors: 1 3 11 33 103 121 309 363 1133 3399 9151 12463 27453 37389 100661 301983 617341 942553 1107271 1852023 2827659 3321813 6790751 10368083 20372253 31104249 63586123 74698261 114048913 190758369 224094783 342146739 699447353 2098342059 5649287491 7693920883 16947862473 23081762649 62142162401 186426487203 581876611573 683563786411 1745629834719 2050691359233 6400642727303 19201928181909 70407070000333 211221210000999