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11112110110100 = 2252718323380929
BaseRepresentation
bin1010000110110011110101…
…1000000011010110010100
31110100022022001121100120102
42201230331120003112110
52424030100142010400
635344455524153232
72224552306326266
oct241547530032624
943308261540512
1011112110110100
1135a468a512a6a
1212b5727238818
13627b37b3b7cc
142a5b86ab7b36
151440b8b649d5
hexa1b3d603594

11112110110100 has 144 divisors (see below), whose sum is σ = 24854035489920. Its totient is φ = 4310807961600.

The previous prime is 11112110110099. The next prime is 11112110110121. The reversal of 11112110110100 is 101101121111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137266436 + ... + 137347364.

It is an arithmetic number, because the mean of its divisors is an integer number (172597468680).

Almost surely, 211112110110100 is an apocalyptic number.

11112110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112110110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12427017744960).

11112110110100 is an abundant number, since it is smaller than the sum of its proper divisors (13741925379820).

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

11112110110100 is a wasteful number, since it uses less digits than its factorization.

11112110110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81330 (or 81323 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11112110110100 its reverse (101101121111), we get a palindrome (11213211231211).

The spelling of 11112110110100 in words is "eleven trillion, one hundred twelve billion, one hundred ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 83 100 142 166 233 284 332 355 415 466 710 830 932 1165 1420 1660 1775 2075 2330 3550 4150 4660 5825 5893 7100 8300 11650 11786 16543 19339 23300 23572 29465 33086 38678 58930 66172 77356 80929 82715 96695 117860 147325 161858 165430 193390 294650 323716 330860 386780 404645 413575 483475 589300 809290 827150 966950 1373069 1618580 1654300 1933900 2023225 2746138 4046450 5492276 5745959 6717107 6865345 8092900 11491918 13434214 13730690 18856457 22983836 26868428 27461380 28729795 33585535 34326725 37712914 57459590 67171070 68653450 75425828 94282285 114919180 134342140 137306900 143648975 167927675 188564570 287297950 335855350 377129140 471411425 476914597 574595900 671710700 942822850 953829194 1338808447 1565085931 1885645700 1907658388 2384572985 2677616894 3130171862 4769145970 5355233788 6260343724 6694042235 7825429655 9538291940 11922864925 13388084470 15650859310 23845729850 26776168940 31301718620 33470211175 39127148275 47691459700 66940422350 78254296550 111121101101 133880844700 156508593100 222242202202 444484404404 555605505505 1111211011010 2222422022020 2778027527525 5556055055050 11112110110100