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21211010213001 = 3721946130895333
BaseRepresentation
bin1001101001010100100101…
…01110101010010010001001
32210002202022202211101110220
410310222102232222102021
510240010122103304001
6113040111545500253
74316305415005200
oct464522256522211
983082282741426
1021211010213001
1168385a2328114
122466a044a1689
13bab26096087b
14534892b54237
1526bb3147bc36
hex134a92baa489

21211010213001 has 96 divisors (see below), whose sum is σ = 34723085443200. Its totient is φ = 11451887032320.

The previous prime is 21211010212991. The next prime is 21211010213011. The reversal of 21211010213001 is 10031201011212.

It is an interprime number because it is at equal distance from previous prime (21211010212991) and next prime (21211010213011).

It is not a de Polignac number, because 21211010213001 - 26 = 21211010212937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21211010213011) 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, 3977310331 + ... + 3977315663.

It is an arithmetic number, because the mean of its divisors is an integer number (361698806700).

Almost surely, 221211010213001 is an apocalyptic number.

21211010213001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21211010213001 is a deficient number, since it is larger than the sum of its proper divisors (13512075230199).

21211010213001 is a wasteful number, since it uses less digits than its factorization.

21211010213001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919 (or 8912 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 21211010213001 its reverse (10031201011212), we get a palindrome (31242211224213).

The spelling of 21211010213001 in words is "twenty-one trillion, two hundred eleven billion, ten million, two hundred thirteen thousand, one".

Divisors: 1 3 7 19 21 49 57 133 147 399 461 931 1383 2793 3089 3227 5333 8759 9267 9681 15999 21623 22589 26277 37331 58691 61313 64869 67767 101327 111993 151361 176073 183939 261317 303981 410837 429191 454083 709289 783951 1232511 1287573 1424029 2127867 2458513 2875859 4272087 4965023 7375539 8627577 9968203 14895069 16473637 17209591 27056551 29904609 46711747 49420911 51628773 69777421 81169653 115315459 120467137 140135241 189395857 209332263 312999103 326982229 345946377 361401411 568187571 807208213 938997309 980946687 1325770999 2190993721 2288875603 2421624639 3977312997 6572981163 6866626809 7594346657 15336956047 22783039971 46010868141 53160426599 144292586483 159481279797 372122986193 432877759449 1010048105381 1116368958579 3030144316143 7070336737667 21211010213001