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22212122000101 = 11232731011373779
BaseRepresentation
bin1010000110011101010011…
…01001000011101011100101
32220122110100222021110010221
411003032221221003223211
510402410411213000401
6115124035153444341
74451526042542065
oct503165151035345
986573328243127
1022212122000101
117094120889120
1225a8a368706b1
13c517953761a7
1456b102ac73a5
15287bc56067a1
hex1433a9a43ae5

22212122000101 has 96 divisors (see below), whose sum is σ = 26128179745920. Its totient is φ = 18719053056000.

The previous prime is 22212122000099. The next prime is 22212122000111. The reversal of 22212122000101 is 10100022121222.

It is a happy number.

It is not a de Polignac number, because 22212122000101 - 21 = 22212122000099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22212122000111) 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, 5877775830 + ... + 5877779608.

It is an arithmetic number, because the mean of its divisors is an integer number (272168539020).

Almost surely, 222212122000101 is an apocalyptic number.

It is an amenable number.

22212122000101 is a deficient number, since it is larger than the sum of its proper divisors (3916057745819).

22212122000101 is a wasteful number, since it uses less digits than its factorization.

22212122000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22212122000101 its reverse (10100022121222), we get a palindrome (32312144121323).

It can be divided in two parts, 222121 and 22000101, that added together give a palindrome (22222222).

The spelling of 22212122000101 in words is "twenty-two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.

Divisors: 1 11 23 73 101 137 253 529 803 1111 1507 1679 2323 3151 3779 5819 7373 10001 13837 18469 25553 34661 38617 41569 53429 72473 81103 86917 110011 152207 169579 230023 275867 318251 381679 424787 517723 587719 797203 956087 1010101 1865369 1999091 2530253 3034537 3500761 3900317 4198469 5290529 5694953 6344941 7319773 8778617 11111111 11907629 21990001 23232323 27862567 37793779 42903487 52290023 58195819 69794351 80517503 96564787 130983919 145933643 201908191 255555553 273875467 306488237 415731569 534343429 575190253 640839041 869256917 1202670529 1605270073 2220990101 3012630137 3817171679 5877777719 7049229451 9561826087 13229375819 14739297943 19992909091 27661422167 41988888469 87794948617 162132277373 219922000001 304275643837 965744434787 2019283818191 22212122000101