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2210031103200 = 253521754167429
BaseRepresentation
bin100000001010010000000…
…111100110110011100000
321211021110212102101011020
4200022100013212303200
5242202120430300300
64411135124245440
7315445426265634
oct40122007466340
97737425371136
102210031103200
117822a5a40318
122b839ab40880
13130535b40b6b
1478d74cacdc4
153c74be058a0
hex202901e6ce0

2210031103200 has 144 divisors (see below), whose sum is σ = 7616807336880. Its totient is φ = 554674462720.

The previous prime is 2210031103123. The next prime is 2210031103207. The reversal of 2210031103200 is 23011300122.

It is a super-2 number, since 2×22100311032002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2210031103200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210031103207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27042915 + ... + 27124514.

It is an arithmetic number, because the mean of its divisors is an integer number (52894495395).

Almost surely, 22210031103200 is an apocalyptic number.

2210031103200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210031103200 is an abundant number, since it is smaller than the sum of its proper divisors (5406776233680).

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

2210031103200 is a wasteful number, since it uses less digits than its factorization.

2210031103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54167469 (or 54167456 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2210031103200 its reverse (23011300122), we get a palindrome (2233042403322).

The spelling of 2210031103200 in words is "two trillion, two hundred ten billion, thirty-one million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2720 3400 4080 5100 6800 8160 10200 13600 20400 40800 54167429 108334858 162502287 216669716 270837145 325004574 433339432 541674290 650009148 812511435 866678864 920846293 1083348580 1300018296 1354185725 1625022870 1733357728 1841692586 2166697160 2600036592 2708371450 2762538879 3250045740 3683385172 4062557175 4333394320 4604231465 5200073184 5416742900 5525077758 6500091480 7366770344 8125114350 8666788640 9208462930 10833485800 11050155516 13000182960 13812694395 14733540688 16250228700 18416925860 21666971600 22100311032 23021157325 26000365920 27625388790 29467081376 32500457400 36833851720 43333943200 44200622064 46042314650 55250777580 65000914800 69063471975 73667703440 88401244128 92084629300 110501555160 130001829600 138126943950 147335406880 184169258600 221003110320 276253887900 368338517200 442006220640 552507775800 736677034400 1105015551600 2210031103200