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211120202211100 = 225271323200022221
BaseRepresentation
bin110000000000001101000000…
…101010000101111100011100
31000200111220010212221201212021
4300000031000222011330130
5210132443133231223400
62025003140523345524
762316634264450240
oct6000150052057434
91020456125851767
10211120202211100
11612a663628a596
121b8186146822a4
1390a571b749b20
143a1c3b52dc420
151961ac334371a
hexc00340a85f1c

211120202211100 has 72 divisors (see below), whose sum is σ = 563853340083488. Its totient is φ = 66816063993600.

The previous prime is 211120202211097. The next prime is 211120202211119. The reversal of 211120202211100 is 1112202021112.

It is a congruent number.

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, 11600002011 + ... + 11600020210.

Almost surely, 2211120202211100 is an apocalyptic number.

211120202211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120202211100 is an abundant number, since it is smaller than the sum of its proper divisors (352733137872388).

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

211120202211100 is a wasteful number, since it uses less digits than its factorization.

211120202211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23200022255 (or 23200022248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211120202211100 its reverse (1112202021112), we get a palindrome (212232404232212).

The spelling of 211120202211100 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 23200022221 46400044442 92800088884 116000111105 162400155547 232000222210 301600288873 324800311094 464000444420 580000555525 603200577746 649600622188 812000777735 1160001111050 1206401155492 1508001444365 1624001555470 2111202022111 2320002222100 3016002888730 3248003110940 4060003888675 4222404044222 6032005777460 7540007221825 8120007777350 8444808088444 10556010110555 15080014443650 16240015554700 21112020221110 30160028887300 42224040442220 52780050552775 105560101105550 211120202211100