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211000210222011 = 3717892220733809
BaseRepresentation
bin101111111110011101010000…
…100100111110101110111011
31000200002102102102212010021020
4233332131100210332232323
5210124011412304101021
62024432054114513523
762305155623411250
oct5776352044765673
91020072372763236
10211000210222011
116125a7609a7161
121b7b93075958a3
139097308108b52
143a1667107d427
15195d8ede217c6
hexbfe75093ebbb

211000210222011 has 96 divisors (see below), whose sum is σ = 344471625953280. Its totient is φ = 112149901197312.

The previous prime is 211000210222003. The next prime is 211000210222073. The reversal of 211000210222011 is 110222012000112.

It is not a de Polignac number, because 211000210222011 - 23 = 211000210222003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211000210222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6240931075 + ... + 6240964883.

It is an arithmetic number, because the mean of its divisors is an integer number (3588246103680).

Almost surely, 2211000210222011 is an apocalyptic number.

211000210222011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211000210222011 is a deficient number, since it is larger than the sum of its proper divisors (133471415731269).

211000210222011 is a wasteful number, since it uses less digits than its factorization.

211000210222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36221 (or 36132 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211000210222011 its reverse (110222012000112), we get a palindrome (321222222222123).

The spelling of 211000210222011 in words is "two hundred eleven trillion, two hundred ten million, two hundred twenty-two thousand, eleven".

Divisors: 1 3 7 17 21 51 89 119 267 357 623 1513 1869 2207 4539 6621 7921 10591 15449 23763 31773 33809 37519 46347 55447 101427 112557 134657 166341 196423 236663 262633 403971 574753 589269 709989 787899 942599 1374961 1724259 2827797 3009001 3339191 4023271 4124883 9027003 10017573 12069813 17481647 21063007 23374337 51153017 52444941 63189021 70123011 74616463 122371529 153459051 223849389 267801089 297187999 358071119 367114587 522315241 803403267 891563997 1074213357 1268479871 1566945723 1874607623 2080315993 3805439613 4552618513 5623822869 6240947979 6640865207 8879359097 13657855539 19922595621 26638077291 31868329591 46486056449 95604988773 112894708519 139458169347 338684125557 591037003423 790262959633 1773111010269 2370788878899 4137259023961 10047629058191 12411777071883 30142887174573 70333403407337 211000210222011