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2212111343000 = 235313853199487
BaseRepresentation
bin100000001100001100000…
…111000101110110011000
321211110211211202111200202
4200030030013011312120
5242220401000434000
64412121355121332
7315551116112666
oct40141407056630
97743754674622
102212111343000
11783173202269
122b887b743248
131307a7b007a0
14790d1293c36
153c81e867dd5
hex2030c1c5d98

2212111343000 has 128 divisors (see below), whose sum is σ = 5581083755520. Its totient is φ = 815817945600.

The previous prime is 2212111342901. The next prime is 2212111343009. The reversal of 2212111343000 is 3431112122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212111343009) 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, 10989257 + ... + 11188743.

It is an arithmetic number, because the mean of its divisors is an integer number (43602216840).

Almost surely, 22212111343000 is an apocalyptic number.

2212111343000 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 2212111343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790541877760).

2212111343000 is an abundant number, since it is smaller than the sum of its proper divisors (3368972412520).

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

2212111343000 is a wasteful number, since it uses less digits than its factorization.

2212111343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200374 (or 200360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2212111343000 its reverse (3431112122), we get a palindrome (2215542455122).

The spelling of 2212111343000 in words is "two trillion, two hundred twelve billion, one hundred eleven million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 853 1000 1300 1625 1706 2600 3250 3412 4265 6500 6824 8530 11089 13000 17060 21325 22178 34120 42650 44356 55445 85300 88712 106625 110890 170600 199487 213250 221780 277225 398974 426500 443560 554450 797948 853000 997435 1108900 1386125 1595896 1994870 2217800 2593331 2772250 3989740 4987175 5186662 5544500 7979480 9974350 10373324 11089000 12966655 19948700 20746648 24935875 25933310 39897400 49871750 51866620 64833275 99743500 103733240 129666550 170162411 199487000 259333100 324166375 340324822 518666200 648332750 680649644 850812055 1296665500 1361299288 1701624110 2212111343 2593331000 3403248220 4254060275 4424222686 6806496440 8508120550 8848445372 11060556715 17016241100 17696890744 21270301375 22121113430 34032482200 42540602750 44242226860 55302783575 85081205500 88484453720 110605567150 170162411000 221211134300 276513917875 442422268600 553027835750 1106055671500 2212111343000