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212220021220011 = 3271011153128922441
BaseRepresentation
bin110000010000001101010010…
…111110101010001010101011
31000211102000222011110012111100
4300100031102332222022223
5210304003100413020021
62031204310513532443
762462250651001050
oct6020152276521253
91024360864405440
10212220021220011
1161690007461272
121b9757b3874123
139155353b9507c
143a5970a731027
1519804e2e92626
hexc10352faa2ab

212220021220011 has 96 divisors (see below), whose sum is σ = 354397449893760. Its totient is φ = 119865360384000.

The previous prime is 212220021219979. The next prime is 212220021220021. The reversal of 212220021220011 is 110022120022212.

It is a happy number.

212220021220011 is a `hidden beast` number, since 21 + 2 + 220 + 0 + 212 + 200 + 11 = 666.

It is not a de Polignac number, because 212220021220011 - 25 = 212220021219979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212220021220021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9456787551 + ... + 9456809991.

It is an arithmetic number, because the mean of its divisors is an integer number (3691640103060).

Almost surely, 2212220021220011 is an apocalyptic number.

212220021220011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212220021220011 is a deficient number, since it is larger than the sum of its proper divisors (142177428673749).

212220021220011 is a wasteful number, since it uses less digits than its factorization.

212220021220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24997 (or 24994 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212220021220011 its reverse (110022120022212), we get a palindrome (322242141242223).

The spelling of 212220021220011 in words is "two hundred twelve trillion, two hundred twenty billion, twenty-one million, two hundred twenty thousand, eleven".

Divisors: 1 3 7 9 21 63 101 303 707 909 1153 1289 2121 3459 3867 6363 8071 9023 10377 11601 22441 24213 27069 67323 72639 81207 116453 130189 157087 201969 349359 390567 471261 815171 911323 1048077 1171701 1413783 1486217 2266541 2445513 2733969 4458651 6799623 7336539 8201907 10403519 13375953 15865787 20398869 25874473 28926449 31210557 47597361 77623419 86779347 93631671 142792083 150107917 181121311 202485143 232870257 260338041 450323751 543363933 607455429 1050755419 1350971253 1630091799 1822366287 2613321773 2921571349 3152266257 7839965319 8764714047 9456798771 18293252411 20450999443 23519895957 26294142141 33352195697 54879757233 61352998329 100056587091 164639271699 184058994987 233465369879 300169761273 700396109637 2101188328911 3368571765397 10105715296191 23580002357779 30317145888573 70740007073337 212220021220011