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22121121101985 = 3351814094794621
BaseRepresentation
bin1010000011110011110011…
…00100001011100010100001
32220022202110222000211221000
411001321321210023202201
510344413024000230420
6115014145220422213
74442125000634163
oct501717144134241
986282428024830
1022121121101985
117059573190504
12259327a847969
13c46022091009
1456694ccc6933
1528564b46c690
hex141e7990b8a1

22121121101985 has 128 divisors (see below), whose sum is σ = 39731747328000. Its totient is φ = 11677101004800.

The previous prime is 22121121101983. The next prime is 22121121102007. The reversal of 22121121101985 is 58910112112122.

It is a happy number.

22121121101985 is a `hidden beast` number, since 221 + 211 + 21 + 10 + 198 + 5 = 666.

It is not a de Polignac number, because 22121121101985 - 21 = 22121121101983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22121121101983) 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, 4787082975 + ... + 4787087595.

It is an arithmetic number, because the mean of its divisors is an integer number (310404276000).

Almost surely, 222121121101985 is an apocalyptic number.

It is an amenable number.

22121121101985 is a deficient number, since it is larger than the sum of its proper divisors (17610626226015).

22121121101985 is a wasteful number, since it uses less digits than its factorization.

22121121101985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 22121121101985 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 181 409 479 543 905 1227 1437 1629 2045 2395 2715 3681 4311 4621 4887 6135 7185 8145 11043 12933 13863 18405 21555 23105 24435 41589 55215 64665 69315 74029 86699 124767 195911 207945 222087 260097 370145 433495 587733 623835 666261 780291 836401 979555 1110435 1300485 1763199 1889989 1998783 2213459 2340873 2509203 2938665 3331305 3901455 4182005 5289597 5669967 6640377 7527609 8815995 9449945 9993915 11067295 11704365 12546015 17009901 19921131 22582827 26447985 28349835 33201885 35459891 37638045 51029703 59763393 85049505 99605655 106379673 112914135 177299455 255148515 298816965 319139019 342088009 400636079 531898365 905304731 957417057 1026264027 1201908237 1595695095 1710440045 2003180395 2715914193 3078792081 3605724711 4526523655 4787085285 5131320135 6009541185 8147742579 9236376243 10817174133 13579570965 15393960405 18028623555 24443227737 40738712895 46181881215 54085870665 122216138685 163860156311 491580468933 819300781555 1474741406799 2457902344665 4424224220397 7373707033995 22121121101985