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1102221012200 = 235271171572793
BaseRepresentation
bin10000000010100001011…
…111011110110011101000
310220101000200021212200212
4100002201133132303220
5121024322034342300
62202204153320252
7142430031006530
oct20024137366350
93811020255625
101102221012200
113954a4032370
1215974b706088
137cc28c85989
143b4c24544c0
151da1096d935
hex100a17dece8

1102221012200 has 96 divisors (see below), whose sum is σ = 3195009524160. Its totient is φ = 343549401600.

The previous prime is 1102221012149. The next prime is 1102221012203. The reversal of 1102221012200 is 22101222011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1102221012203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35770997 + ... + 35801796.

It is an arithmetic number, because the mean of its divisors is an integer number (33281349210).

Almost surely, 21102221012200 is an apocalyptic number.

1102221012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102221012200 is an abundant number, since it is smaller than the sum of its proper divisors (2092788511960).

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

1102221012200 is a wasteful number, since it uses less digits than its factorization.

1102221012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71572827 (or 71572818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1102221012200 its reverse (22101222011), we get a palindrome (1124322234211).

The spelling of 1102221012200 in words is "one trillion, one hundred two billion, two hundred twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 71572793 143145586 286291172 357863965 501009551 572582344 715727930 787300723 1002019102 1431455860 1574601446 1789319825 2004038204 2505047755 2862911720 3149202892 3578639650 3936503615 4008076408 5010095510 5511105061 6298405784 7157279300 7873007230 10020191020 11022210122 12525238775 14314558600 15746014460 19682518075 20040382040 22044420244 25050477550 27555525305 31492028920 39365036150 44088840488 50100955100 55111050610 78730072300 100201910200 110222101220 137777626525 157460144600 220444202440 275555253050 551110506100 1102221012200