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201222212121 = 3571733121023
BaseRepresentation
bin1011101101100111000…
…1110100101000011001
3201020101112002111100000
42323121301310220121
511244100341241441
6232235030203213
720352321403440
oct2733161645031
9636345074300
10201222212121
1178379769267
1232bb8ab3509
1315c8a5bc908
149a4c553d57
15537a8eb2b6
hex2ed9c74a19

201222212121 has 96 divisors (see below), whose sum is σ = 365862002688. Its totient is φ = 107888267520.

The previous prime is 201222212057. The next prime is 201222212123. The reversal of 201222212121 is 121212222102.

It is a happy number.

It is not a de Polignac number, because 201222212121 - 26 = 201222212057 is a prime.

201222212121 is a modest number, since divided by 212121 gives 201222 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 201222212094 and 201222212103.

It is not an unprimeable number, because it can be changed into a prime (201222212123) 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, 9561016 + ... + 9582038.

It is an arithmetic number, because the mean of its divisors is an integer number (3811062528).

Almost surely, 2201222212121 is an apocalyptic number.

201222212121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201222212121 is a deficient number, since it is larger than the sum of its proper divisors (164639790567).

201222212121 is a wasteful number, since it uses less digits than its factorization.

201222212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21393 (or 21381 counting only the distinct ones).

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

Adding to 201222212121 its reverse (121212222102), we get a palindrome (322434434223).

The spelling of 201222212121 in words is "two hundred one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 81 119 153 189 243 331 357 459 567 993 1071 1377 1701 2317 2979 3213 4131 5627 6951 8937 9639 16881 20853 21023 26811 28917 39389 50643 62559 63069 80433 118167 147161 151929 187677 189207 354501 357391 441483 455787 563031 567621 1063503 1072173 1324449 1367361 1702863 2501737 3190509 3216519 3973347 5108589 6958613 7505211 9571527 9649557 11920041 20875839 22515633 28948671 35760123 48710291 62627517 67546899 86846013 118296421 146130873 187882551 202640697 354889263 438392619 563647653 607922091 828074947 1064667789 1315177857 1690942959 2484224841 3194003367 3945533571 7452674523 9582010101 11836600713 22358023569 28746030303 67074070707 201222212121