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22101021120 = 263589258673
BaseRepresentation
bin10100100101010100…
…101101000111000000
32010001020222012101210
4110211110231013000
5330230330133440
614053021330120
71411453402623
oct244524550700
963036865353
1022101021120
1194114a5312
124349706940
132112a624b9
1410d9359dba
15895435a80
hex52552d1c0

22101021120 has 112 divisors (see below), whose sum is σ = 70959451680. Its totient is φ = 5827362816.

The previous prime is 22101021113. The next prime is 22101021169. The reversal of 22101021120 is 2112010122.

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 = 22101021096 and 22101021105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43897 + ... + 214776.

Almost surely, 222101021120 is an apocalyptic number.

22101021120 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 22101021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35479725840).

22101021120 is an abundant number, since it is smaller than the sum of its proper divisors (48858430560).

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

22101021120 is a wasteful number, since it uses less digits than its factorization.

22101021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258782 (or 258772 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22101021120 its reverse (2112010122), we get a palindrome (24213031242).

The spelling of 22101021120 in words is "twenty-two billion, one hundred one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 160 178 192 240 267 320 356 445 480 534 712 890 960 1068 1335 1424 1780 2136 2670 2848 3560 4272 5340 5696 7120 8544 10680 14240 17088 21360 28480 42720 85440 258673 517346 776019 1034692 1293365 1552038 2069384 2586730 3104076 3880095 4138768 5173460 6208152 7760190 8277536 10346920 12416304 15520380 16555072 20693840 23021897 24832608 31040760 41387680 46043794 49665216 62081520 69065691 82775360 92087588 115109485 124163040 138131382 184175176 230218970 248326080 276262764 345328455 368350352 460437940 552525528 690656910 736700704 920875880 1105051056 1381313820 1473401408 1841751760 2210102112 2762627640 3683503520 4420204224 5525255280 7367007040 11050510560 22101021120