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21111011100 = 22335229269617
BaseRepresentation
bin10011101010010100…
…000111011100011100
32000111021002110222000
4103222110013130130
5321213404323400
613410454122300
71345102430214
oct235224073434
960437073860
1021111011100
118a53685113
124112050390
131cb591245a
141043a8d244
15838579600
hex4ea50771c

21111011100 has 144 divisors (see below), whose sum is σ = 70208527200. Its totient is φ = 5435458560.

The previous prime is 21111011099. The next prime is 21111011107. The reversal of 21111011100 is 111011112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111011107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 56509 + ... + 213108.

Almost surely, 221111011100 is an apocalyptic number.

21111011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21111011100 is an abundant number, since it is smaller than the sum of its proper divisors (49097516100).

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

21111011100 is a wasteful number, since it uses less digits than its factorization.

21111011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269669 (or 269656 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 21111011100 its reverse (111011112), we get a palindrome (21222022212).

The spelling of 21111011100 in words is "twenty-one billion, one hundred eleven million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 29 30 36 45 50 54 58 60 75 87 90 100 108 116 135 145 150 174 180 225 261 270 290 300 348 435 450 522 540 580 675 725 783 870 900 1044 1305 1350 1450 1566 1740 2175 2610 2700 2900 3132 3915 4350 5220 6525 7830 8700 13050 15660 19575 26100 39150 78300 269617 539234 808851 1078468 1348085 1617702 2426553 2696170 3235404 4044255 4853106 5392340 6740425 7279659 7818893 8088510 9706212 12132765 13480850 14559318 15637786 16177020 20221275 23456679 24265530 26961700 29118636 31275572 36398295 39094465 40442550 46913358 48531060 60663825 70370037 72796590 78188930 80885100 93826716 117283395 121327650 140740074 145593180 156377860 181991475 195472325 211110111 234566790 242655300 281480148 351850185 363982950 390944650 422220222 469133580 586416975 703700370 727965900 781889300 844440444 1055550555 1172833950 1407400740 1759250925 2111101110 2345667900 3518501850 4222202220 5277752775 7037003700 10555505550 21111011100