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211120011012200 = 23523671688341777
BaseRepresentation
bin110000000000001100110101…
…010000101110100001101000
31000200111212122120011211021112
4300000030311100232201220
5210132442240304342300
62025003105533325452
762316626453340113
oct6000146520564150
91020455576154245
10211120011012200
11612a6548368a74
121b818580636888
1390a56bac54794
143a1c397b6b57a
151961ab1676e35
hexc0033542e868

211120011012200 has 96 divisors (see below), whose sum is σ = 491070824544960. Its totient is φ = 84410714035200.

The previous prime is 211120011012181. The next prime is 211120011012241. The reversal of 211120011012200 is 2210110021112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5053477712 + ... + 5053519488.

It is an arithmetic number, because the mean of its divisors is an integer number (5115321089010).

Almost surely, 2211120011012200 is an apocalyptic number.

211120011012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120011012200 is an abundant number, since it is smaller than the sum of its proper divisors (279950813532760).

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

211120011012200 is a wasteful number, since it uses less digits than its factorization.

211120011012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52347 (or 52338 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211120011012200 its reverse (2210110021112), we get a palindrome (213330121033312).

The spelling of 211120011012200 in words is "two hundred eleven trillion, one hundred twenty billion, eleven million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3671 6883 7342 13766 14684 18355 27532 29368 34415 36710 41777 55064 68830 73420 83554 91775 137660 146840 167108 172075 183550 208885 275320 334216 344150 367100 417770 688300 734200 835540 1044425 1376600 1671080 2088850 4177700 8355400 25267493 50534986 101069972 126337465 153363367 202139944 252674930 287551091 306726734 505349860 575102182 613453468 631687325 766816835 1010699720 1150204364 1226906936 1263374650 1437755455 1533633670 2300408728 2526749300 2875510910 3067267340 3834084175 5053498600 5751021820 6134534680 7188777275 7668168350 11502043640 14377554550 15336336700 28755109100 30672673400 57510218200 1055600055061 2111200110122 4222400220244 5278000275305 8444800440488 10556000550610 21112001101220 26390001376525 42224002202440 52780002753050 105560005506100 211120011012200