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22001102310120 = 23353749211100693
BaseRepresentation
bin1010000000010100001111…
…11000110100101011101000
32212220021200122111111211120
411000022013320310223220
510340431224142410440
6114443100013255240
74430345553014043
oct500120770645350
985807618444746
1022001102310120
11701268476081a
122573b64794520
13c379060273cb
14560c0528bc5a
15282474a03dd0
hex140287e34ae8

22001102310120 has 128 divisors (see below), whose sum is σ = 67789230791040. Its totient is φ = 5708221424640.

The previous prime is 22001102310113. The next prime is 22001102310137. The reversal of 22001102310120 is 2101320110022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22001102310120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218446494 + ... + 218547186.

It is an arithmetic number, because the mean of its divisors is an integer number (529603365555).

Almost surely, 222001102310120 is an apocalyptic number.

22001102310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001102310120 is an abundant number, since it is smaller than the sum of its proper divisors (45788128480920).

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

22001102310120 is a wasteful number, since it uses less digits than its factorization.

22001102310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149955 (or 149951 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22001102310120 its reverse (2101320110022), we get a palindrome (24102422420142).

The spelling of 22001102310120 in words is "twenty-two trillion, one billion, one hundred two million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 49211 98422 100693 147633 196844 201386 246055 295266 302079 393688 402772 492110 503465 590532 604158 738165 805544 984220 1006930 1181064 1208316 1476330 1510395 1820807 1968440 2013860 2416632 2952660 3020790 3641614 3725641 4027720 5462421 5905320 6041580 7283228 7451282 9104035 10924842 11176923 12083160 14566456 14902564 18208070 18628205 21849684 22353846 27312105 29805128 36416140 37256410 43699368 44707692 54624210 55884615 72832280 74512820 89415384 109248420 111769230 149025640 218496840 223538460 447076920 4955203223 9910406446 14865609669 19820812892 24776016115 29731219338 39641625784 49552032230 59462438676 74328048345 99104064460 118924877352 148656096690 183342519251 198208128920 297312193380 366685038502 550027557753 594624386760 733370077004 916712596255 1100055115506 1466740154008 1833425192510 2200110231012 2750137788765 3666850385020 4400220462024 5500275577530 7333700770040 11000551155060 22001102310120