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22000111211120 = 2457411987482231
BaseRepresentation
bin1010000000010010011001…
…10100000101001001110000
32212220012010120120110121012
411000021030310011021300
510340422211432223440
6114442413410450052
74430312156554430
oct500111464051160
985805116513535
1022000111211120
117012216267439
122573928893928
13c377a88b57b3
14560b4d7ba2c0
152824179cee65
hex14024cd05270

22000111211120 has 160 divisors (see below), whose sum is σ = 59913491291136. Its totient is φ = 7355203430400.

The previous prime is 22000111211033. The next prime is 22000111211129. The reversal of 22000111211120 is 2111211100022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22000111211095 and 22000111211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000111211129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45380405 + ... + 45862635.

Almost surely, 222000111211120 is an apocalyptic number.

22000111211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000111211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29956745645568).

22000111211120 is an abundant number, since it is smaller than the sum of its proper divisors (37913380080016).

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

22000111211120 is a wasteful number, since it uses less digits than its factorization.

22000111211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484279 (or 484273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22000111211120 its reverse (2111211100022), we get a palindrome (24111322311142).

The spelling of 22000111211120 in words is "twenty-two trillion, one hundred eleven million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 1987 2296 2870 3280 3974 4592 5740 7948 9935 11480 13909 15896 19870 22960 27818 31792 39740 55636 69545 79480 81467 111272 139090 158960 162934 222544 278180 325868 407335 482231 556360 570269 651736 814670 964462 1112720 1140538 1303472 1629340 1928924 2281076 2411155 2851345 3258680 3375617 3857848 4562152 4822310 5702690 6517360 6751234 7715696 9124304 9644620 11405380 13502468 16878085 19289240 19771471 22810760 27004936 33756170 38578480 39542942 45621520 54009872 67512340 79085884 98857355 135024680 138400297 158171768 197714710 270049360 276800594 316343536 395429420 553601188 692001485 790858840 958192997 1107202376 1384002970 1581717680 1916385994 2214404752 2768005940 3832771988 4790964985 5536011880 6707350979 7665543976 9581929970 11072023760 13414701958 15331087952 19163859940 26829403916 33536754895 38327719880 39285912877 53658807832 67073509790 76655439760 78571825754 107317615664 134147019580 157143651508 196429564385 268294039160 275001390139 314287303016 392859128770 536588078320 550002780278 628574606032 785718257540 1100005560556 1375006950695 1571436515080 2200011121112 2750013901390 3142873030160 4400022242224 5500027802780 11000055605560 22000111211120