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212101320123 = 33711792275689
BaseRepresentation
bin1100010110001000111…
…0010100110110111011
3202021110201001102221000
43011202032110312323
511433340414220443
6241234335220043
721216032321460
oct3054216246673
9667421042830
10212101320123
1181a51736110
1235134377623
131700246a324
14a3a1355667
1557b5a5a8d3
hex3162394dbb

212101320123 has 128 divisors (see below), whose sum is σ = 398536704000. Its totient is φ = 108289509120.

The previous prime is 212101320083. The next prime is 212101320191. The reversal of 212101320123 is 321023101212.

212101320123 is a `hidden beast` number, since 212 + 10 + 1 + 320 + 123 = 666.

It is not a de Polignac number, because 212101320123 - 29 = 212101319611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212101320096 and 212101320105.

It is not an unprimeable number, because it can be changed into a prime (212101320023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37279863 + ... + 37285551.

It is an arithmetic number, because the mean of its divisors is an integer number (3113568000).

Almost surely, 2212101320123 is an apocalyptic number.

212101320123 is a deficient number, since it is larger than the sum of its proper divisors (186435383877).

212101320123 is a wasteful number, since it uses less digits than its factorization.

212101320123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212101320123 its reverse (321023101212), we get a palindrome (533124421335).

Subtracting 212101320123 from its reverse (321023101212), we obtain a square (108921781089 = 3300332).

The spelling of 212101320123 in words is "two hundred twelve billion, one hundred one million, three hundred twenty thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 79 99 189 227 231 237 297 553 681 693 711 869 1589 1659 2043 2079 2133 2497 2607 4767 4977 5689 6083 6129 7491 7821 14301 14931 17067 17479 17933 18249 22473 23463 39823 42903 51201 52437 53799 54747 62579 67419 119469 125531 153603 157311 161397 164241 187737 197263 358407 376593 438053 449431 471933 484191 563211 591789 1075221 1129779 1291403 1314159 1348293 1380841 1689633 1775367 3146017 3389337 3874209 3942477 4044879 4142523 4943741 5326101 9039821 9438051 11622627 11827431 12134637 12427569 14205433 14831223 27119463 28314153 34606187 34867881 37282707 42616299 44493669 81358389 84942459 99438031 102020837 103818561 127848897 133481007 244075167 298314093 306062511 311455683 383546691 714145859 894942279 918187533 934367049 1122229207 2142437577 2684826837 2754562599 3366687621 6427312731 7855604449 10100062863 19281938193 23566813347 30300188589 70700440041 212101320123