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22000022210100 = 223521158691135913
BaseRepresentation
bin1010000000010010001111…
…00000100100011000110100
32212220011220101002202011010
411000021013200210120310
510340422021141210400
6114442400511112220
74430310026222304
oct500110740443064
985804811082133
1022000022210100
11701217aaa8680
122573902b12670
13c3779332347c
14560b41a4d604
1528240ec9e450
hex140247824634

22000022210100 has 144 divisors (see below), whose sum is σ = 69451962914880. Its totient is φ = 5332425292800.

The previous prime is 22000022210099. The next prime is 22000022210119. The reversal of 22000022210100 is 101222000022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18799744 + ... + 19935656.

It is an arithmetic number, because the mean of its divisors is an integer number (482305298020).

Almost surely, 222000022210100 is an apocalyptic number.

22000022210100 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 22000022210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34725981457440).

22000022210100 is an abundant number, since it is smaller than the sum of its proper divisors (47451940704780).

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

22000022210100 is a wasteful number, since it uses less digits than its factorization.

22000022210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141810 (or 1141803 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22000022210100 its reverse (101222000022), we get a palindrome (22101244210122).

The spelling of 22000022210100 in words is "twenty-two trillion, twenty-two million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 5869 11738 17607 23476 29345 35214 58690 64559 70428 88035 117380 129118 146725 176070 193677 258236 293450 322795 352140 387354 440175 586900 645590 774708 880350 968385 1135913 1291180 1613975 1760700 1936770 2271826 3227950 3407739 3873540 4543652 4841925 5679565 6455900 6815478 9683850 11359130 12495043 13630956 17038695 19367700 22718260 24990086 28397825 34077390 37485129 49980172 56795650 62475215 68154780 74970258 85193475 113591300 124950430 149940516 170386950 187425645 249900860 312376075 340773900 374851290 624752150 749702580 937128225 1249504300 1874256450 3748512900 6666673397 13333346794 20000020191 26666693588 33333366985 40000040382 66666733970 73333407367 80000080764 100000100955 133333467940 146666814734 166666834925 200000201910 220000222101 293333629468 333333669850 366667036835 400000403820 440000444202 500000504775 666667339700 733334073670 880000888404 1000001009550 1100001110505 1466668147340 1833335184175 2000002019100 2200002221010 3666670368350 4400004442020 5500005552525 7333340736700 11000011105050 22000022210100