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22010001111120 = 24351126017320449
BaseRepresentation
bin1010000000100100110100…
…10011000011100001010000
32212221010122211011102220210
411000102122103003201100
510341102440241023440
6114451131021404120
74431112226410221
oct500223223034120
985833584142823
1022010001111120
117016430911710
122575828a09640
13c386c3834229
1456140b07d248
152827e5d90a80
hex14049a4c3850

22010001111120 has 160 divisors (see below), whose sum is σ = 74436915196800. Its totient is φ = 5335536107520.

The previous prime is 22010001111097. The next prime is 22010001111227. The reversal of 22010001111120 is 2111110001022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22010001111096 and 22010001111105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68524656 + ... + 68845104.

It is an arithmetic number, because the mean of its divisors is an integer number (465230719980).

Almost surely, 222010001111120 is an apocalyptic number.

22010001111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010001111120 is an abundant number, since it is smaller than the sum of its proper divisors (52426914085680).

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

22010001111120 is a wasteful number, since it uses less digits than its factorization.

22010001111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346493 (or 346487 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22010001111120 its reverse (2111110001022), we get a palindrome (24121111112142).

The spelling of 22010001111120 in words is "twenty-two trillion, ten billion, one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 26017 52034 78051 104068 130085 156102 208136 260170 286187 312204 320449 390255 416272 520340 572374 624408 640898 780510 858561 961347 1040680 1144748 1248816 1281796 1430935 1561020 1602245 1717122 1922694 2081360 2289496 2563592 2861870 3122040 3204490 3434244 3524939 3845388 4292805 4578992 4806735 5127184 5723740 6244080 6408980 6868488 7049878 7690776 8585610 9613470 10574817 11447480 12817960 13736976 14099756 15381552 17171220 17624695 19226940 21149634 22894960 25635920 28199512 34342440 35249390 38453880 42299268 52874085 56399024 68684880 70498780 76907760 84598536 105748170 140997560 169197072 211496340 281995120 422992680 845985360 8337121633 16674243266 25011364899 33348486532 41685608165 50022729798 66696973064 83371216330 91708337963 100045459596 125056824495 133393946128 166742432660 183416675926 200090919192 250113648990 275125013889 333484865320 366833351852 400181838384 458541689815 500227297980 550250027778 666969730640 733666703704 917083379630 1000454595960 1100500055556 1375625069445 1467333407408 1834166759260 2000909191920 2201000111112 2751250138890 3668333518520 4402000222224 5502500277780 7336667037040 11005000555560 22010001111120