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1112100100000 = 255516368227
BaseRepresentation
bin10000001011101110010…
…101001101011110100000
310221022112011112112110121
4100023232111031132200
5121210040111200000
62210520340410024
7143226606611011
oct20135625153640
93838464475417
101112100100000
1139970357223a
1215b6480a6914
1380b418b9c66
143bb7c501008
151dddcde5b1a
hex102ee54d7a0

1112100100000 has 144 divisors (see below), whose sum is σ = 2753463204576. Its totient is φ = 442104480000.

The previous prime is 1112100099977. The next prime is 1112100100037. The reversal of 1112100100000 is 10012111.

It is an unprimeable number.

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, 16265887 + ... + 16334113.

It is an arithmetic number, because the mean of its divisors is an integer number (19121272254).

Almost surely, 21112100100000 is an apocalyptic number.

1112100100000 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 1112100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376731602288).

1112100100000 is an abundant number, since it is smaller than the sum of its proper divisors (1641363104576).

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

1112100100000 is an frugal number, since it uses more digits than its factorization.

1112100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68425 (or 68397 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1112100100000 its reverse (10012111), we get a palindrome (1112110112111).

The spelling of 1112100100000 in words is "one trillion, one hundred twelve billion, one hundred million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 163 200 250 326 400 500 625 652 800 815 1000 1250 1304 1630 2000 2500 2608 3125 3260 4000 4075 5000 5216 6250 6520 8150 10000 12500 13040 16300 20000 20375 25000 26080 32600 40750 50000 65200 68227 81500 100000 101875 130400 136454 163000 203750 272908 326000 341135 407500 509375 545816 652000 682270 815000 1018750 1091632 1364540 1630000 1705675 2037500 2183264 2729080 3260000 3411350 4075000 5458160 6822700 8150000 8528375 10916320 11121001 13645400 16300000 17056750 22242002 27290800 34113500 42641875 44484004 54581600 55605005 68227000 85283750 88968008 111210010 136454000 170567500 177936016 213209375 222420020 272908000 278025025 341135000 355872032 426418750 444840040 556050050 682270000 852837500 889680080 1112100100 1364540000 1390125125 1705675000 1779360160 2224200200 2780250250 3411350000 4448400400 5560500500 6822700000 6950625625 8896800800 11121001000 13901251250 22242002000 27802502500 34753128125 44484004000 55605005000 69506256250 111210010000 139012512500 222420020000 278025025000 556050050000 1112100100000