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222223022113131 = 321317234737350777
BaseRepresentation
bin110010100001110001010100…
…010010110100000101101011
31002010211022110111101121210100
4302201301110102310011223
5213111400222130110011
62104343502542320443
764544040435461034
oct6241612422640553
91063738414347710
10222223022113131
1164897288705746
1220b10388589123
1396cc7059584a0
143cc391a219a8b
151aa57e65a3d56
hexca1c544b416b

222223022113131 has 144 divisors (see below), whose sum is σ = 369263346195744. Its totient is φ = 127990850347008.

The previous prime is 222223022113087. The next prime is 222223022113153. The reversal of 222223022113131 is 131311220322222.

222223022113131 is a `hidden beast` number, since 2 + 2 + 2 + 22 + 302 + 21 + 1 + 313 + 1 = 666.

It is not a de Polignac number, because 222223022113131 - 213 = 222223022104939 is a prime.

It is a super-2 number, since 2×2222230221131312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222223022113095 and 222223022113104.

It is not an unprimeable number, because it can be changed into a prime (222223022113031) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4376425015 + ... + 4376475791.

It is an arithmetic number, because the mean of its divisors is an integer number (2564328793026).

Almost surely, 2222223022113131 is an apocalyptic number.

222223022113131 is a deficient number, since it is larger than the sum of its proper divisors (147040324082613).

222223022113131 is a wasteful number, since it uses less digits than its factorization.

222223022113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51550 (or 51530 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 222223022113131 its reverse (131311220322222), we get a palindrome (353534242435353).

The spelling of 222223022113131 in words is "two hundred twenty-two trillion, two hundred twenty-three billion, twenty-two million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 289 347 373 663 867 1041 1119 1989 2601 3123 3357 3757 4511 4849 5899 6341 11271 13533 14547 17697 19023 33813 40599 43641 50777 53091 57069 76687 82433 100283 107797 129431 152331 230061 247299 300849 323391 388293 456993 660101 690183 741897 863209 902547 970173 1164879 1303679 1401361 1682603 1980303 2200327 2589627 3911037 4204083 5047809 5940909 6600981 7768881 11221717 11733111 12612249 14674553 15143427 17619619 18939821 19802943 28604251 33665151 37405559 44023659 52858857 56819463 85812753 100995453 112216677 132070977 158576571 170458389 190769189 229055047 246217673 257438259 299533523 321976957 336650031 486272267 572307567 687165141 738653019 898600569 965930871 1458816801 1716922701 2061495423 2215959057 2695801707 2897792613 3893935799 4185700441 4376450403 5092069891 5473608269 6572117887 11681807397 12557101323 15276209673 16420824807 19716353661 35045422191 37671303969 45828629019 49262474421 59149060983 66196908583 71156907497 85437532531 111726004079 198590725749 213470722491 256312597593 335178012237 595772177247 640412167473 768937792779 1005534036711 1452438053027 1899342069343 4357314159081 5698026208029 13071942477243 17094078624087 24691446901459 74074340704377 222223022113131