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212210000101242 = 2321113174849627499
BaseRepresentation
bin110000010000000011111101…
…101011000111111101111010
31000211101002002202221121212100
4300100003331223013331322
5210303322040011214432
62031155532254324230
762461444425620253
oct6020037553077572
91024332082847770
10212210000101242
1161686834832430
121b9738777b9676
1391544179c21b0
143a59039871b2a
15198010831207c
hexc100fdac7f7a

212210000101242 has 96 divisors (see below), whose sum is σ = 571945668840000. Its totient is φ = 55867708776960.

The previous prime is 212210000101241. The next prime is 212210000101313. The reversal of 212210000101242 is 242101000012212.

212210000101242 is a `hidden beast` number, since 212 + 210 + 0 + 0 + 0 + 1 + 0 + 1 + 242 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212210000101241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2424769992 + ... + 2424857507.

It is an arithmetic number, because the mean of its divisors is an integer number (5957767383750).

Almost surely, 2212210000101242 is an apocalyptic number.

212210000101242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212210000101242 is an abundant number, since it is smaller than the sum of its proper divisors (359735668738758).

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

212210000101242 is a wasteful number, since it uses less digits than its factorization.

212210000101242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849627548 (or 4849627545 counting only the distinct ones).

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

Adding to 212210000101242 its reverse (242101000012212), we get a palindrome (454311000113454).

The spelling of 212210000101242 in words is "two hundred twelve trillion, two hundred ten billion, one hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 143 153 187 198 221 234 286 306 374 429 442 561 663 858 1122 1287 1326 1683 1989 2431 2574 3366 3978 4862 7293 14586 21879 43758 4849627499 9699254998 14548882497 29097764994 43646647491 53345902489 63045157487 82443667483 87293294982 106691804978 126090314974 160037707467 164887334966 189135472461 247331002449 320075414934 378270944922 480113122401 494662004898 567406417383 693496732357 741993007347 906880342313 960226244802 1071767677279 1134812834766 1386993464714 1483986014694 1813760684626 2080490197071 2143535354558 2720641026939 3215303031837 4160980394142 5441282053878 6241470591213 6430606063674 8161923080817 9645909095511 11789444450069 12482941182426 16323846161634 19291818191022 23578888900138 35368333350207 70736666700414 106105000050621 212210000101242