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211045315354452 = 223311372723786969
BaseRepresentation
bin101111111111000111010001…
…000011011001111101010100
31000200020201211220010020221000
4233333013101003121331110
5210130231301212320302
62024504513542223300
762311343440616145
oct5777072103317524
91020221756106830
10211045315354452
11612778a7639817
121b805bb5124b30
13909b645a39927
143a1890d677acc
15195eb8dbca31c
hexbff1d10d9f54

211045315354452 has 96 divisors (see below), whose sum is σ = 552755899987200. Its totient is φ = 69629973912576.

The previous prime is 211045315354429. The next prime is 211045315354453. The reversal of 211045315354452 is 254453513540112.

211045315354452 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 4 + 5 + 3 + 1 + 53 + 544 + 52 = 666.

It is a super-2 number, since 2×2110453153544522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211045315354398 and 211045315354407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211045315354453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3021177 + ... + 20765792.

It is an arithmetic number, because the mean of its divisors is an integer number (5757873958200).

Almost surely, 2211045315354452 is an apocalyptic number.

It is an amenable number.

211045315354452 is an abundant number, since it is smaller than the sum of its proper divisors (341710584632748).

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

211045315354452 is a wasteful number, since it uses less digits than its factorization.

211045315354452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23787822 (or 23787814 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 211045315354452 its reverse (254453513540112), we get a palindrome (465498828894564).

The spelling of 211045315354452 in words is "two hundred eleven trillion, forty-five billion, three hundred fifteen million, three hundred fifty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 727 1017 1356 1454 2034 2181 2908 3051 4068 4362 6102 6543 8724 12204 13086 19629 26172 39258 78516 82151 164302 246453 328604 492906 739359 985812 1478718 2218077 2957436 4436154 8872308 23786969 47573938 71360907 95147876 142721814 214082721 285443628 428165442 642248163 856330884 1284496326 2568992652 2687927497 5375854994 8063782491 10751709988 16127564982 17293126463 24191347473 32255129964 34586252926 48382694946 51879379389 69172505852 72574042419 96765389892 103758758778 145148084838 155638138167 207517517556 290296169676 311276276334 466914414501 622552552668 933828829002 1867657658004 1954123290319 3908246580638 5862369870957 7816493161276 11724739741914 17587109612871 23449479483828 35174219225742 52761328838613 70348438451484 105522657677226 211045315354452