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22100120000 = 2654778929
BaseRepresentation
bin10100100101010001…
…010001000111000000
32010001012021102021222
4110211101101013000
5330230112320000
614052550134212
71411442630510
oct244521210700
963035242258
1022100120000
119410a3a292
124349351368
1321128082aa
1410d91a3840
15895308a85
hex5254511c0

22100120000 has 140 divisors (see below), whose sum is σ = 62630639280. Its totient is φ = 7577088000.

The previous prime is 22100119981. The next prime is 22100120023. The reversal of 22100120000 is 2100122.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 22100120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 240536 + ... + 319464.

Almost surely, 222100120000 is an apocalyptic number.

22100120000 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 22100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31315319640).

22100120000 is an abundant number, since it is smaller than the sum of its proper divisors (40530519280).

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

22100120000 is an frugal number, since it uses more digits than its factorization.

22100120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78968 (or 78943 counting only the distinct ones).

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

Adding to 22100120000 its reverse (2100122), we get a palindrome (22102220122).

The spelling of 22100120000 in words is "twenty-two billion, one hundred million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 56000 70000 78929 140000 157858 280000 315716 394645 552503 631432 789290 1105006 1262864 1578580 1973225 2210012 2525728 2762515 3157160 3946450 4420024 5051456 5525030 6314320 7892900 8840048 9866125 11050060 12628640 13812575 15785800 17680096 19732250 22100120 25257280 27625150 31571600 35360192 39464500 44200240 49330625 55250300 63143200 69062875 78929000 88400480 98661250 110500600 126286400 138125750 157858000 176800960 197322500 221001200 276251500 315716000 345314375 394645000 442002400 552503000 631432000 690628750 789290000 884004800 1105006000 1381257500 1578580000 2210012000 2762515000 3157160000 4420024000 5525030000 11050060000 22100120000