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11112110020110 = 23511297253160091
BaseRepresentation
bin1010000110110011110101…
…0111101101011000001110
31110100022022001102210010110
42201230331113231120032
52424030100131120420
635344455522220450
72224552305503031
oct241547527553016
943308261383113
1011112110020110
1135a468a4613a0
1212b57271b4726
13627b37b09868
142a5b86a93018
151440b8b47ee0
hexa1b3d5ed60e

11112110020110 has 128 divisors (see below), whose sum is σ = 30101086978560. Its totient is φ = 2600578803200.

The previous prime is 11112110020091. The next prime is 11112110020129. The reversal of 11112110020110 is 1102001121111.

It is an interprime number because it is at equal distance from previous prime (11112110020091) and next prime (11112110020129).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69331165 + ... + 69491255.

It is an arithmetic number, because the mean of its divisors is an integer number (235164742020).

Almost surely, 211112110020110 is an apocalyptic number.

11112110020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112110020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050543489280).

11112110020110 is an abundant number, since it is smaller than the sum of its proper divisors (18988976958450).

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

11112110020110 is a wasteful number, since it uses less digits than its factorization.

11112110020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167394.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11112110020110 its reverse (1102001121111), we get a palindrome (12214111141221).

The spelling of 11112110020110 in words is "eleven trillion, one hundred twelve billion, one hundred ten million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 7253 9570 14506 21759 36265 43518 72530 79783 108795 159566 160091 210337 217590 239349 320182 398915 420674 478698 480273 631011 797830 800455 960546 1051685 1196745 1262022 1600910 1761001 2103370 2313707 2393490 2401365 3155055 3522002 4627414 4642639 4802730 5283003 6310110 6941121 8805005 9285278 10566006 11568535 13882242 13927917 17610010 23137070 23213195 26415015 27855834 34705605 46426390 51069029 52830030 69411210 69639585 102138058 139279170 153207087 255345145 306414174 510690290 766035435 1161140023 1532070870 2322280046 3483420069 5805700115 6966840138 11611400230 12772540253 17417100345 25545080506 33673060667 34834200690 38317620759 63862701265 67346121334 76635241518 101019182001 127725402530 168365303335 191588103795 202038364002 336730606670 370403667337 383176207590 505095910005 740807334674 1010191820010 1111211002011 1852018336685 2222422004022 3704036673370 5556055010055 11112110020110