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110011010011100 = 225211673101348131
BaseRepresentation
bin11001000000110111101111…
…001011000100111111011100
3112102111221122102211021222222
4121000313233023010333130
5103404410022030323400
61025550205454324512
732113014245206352
oct3100675713047734
9472457572737888
10110011010011100
1132064453196520
1210408a547b9738
13494ccbc2c2723
141d247c02997d2
15cab98b0cd185
hex640def2c4fdc

110011010011100 has 144 divisors (see below), whose sum is σ = 264327034237056. Its totient is φ = 39404839584000.

The previous prime is 110011010011069. The next prime is 110011010011141. The reversal of 110011010011100 is 1110010110011.

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, 2285634035 + ... + 2285682165.

It is an arithmetic number, because the mean of its divisors is an integer number (1835604404424).

Almost surely, 2110011010011100 is an apocalyptic number.

110011010011100 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 110011010011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132163517118528).

110011010011100 is an abundant number, since it is smaller than the sum of its proper divisors (154316024225956).

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

110011010011100 is a wasteful number, since it uses less digits than its factorization.

110011010011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79236 (or 79229 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 110011010011100 its reverse (1110010110011), we get a palindrome (111121020121111).

The spelling of 110011010011100 in words is "one hundred ten trillion, eleven billion, ten million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1675 2948 3350 3685 6700 7370 14740 18425 31013 36850 48131 62026 73700 96262 124052 155065 192524 240655 310130 341143 481310 529441 620260 682286 775325 962620 1058882 1203275 1364572 1550650 1705715 2077871 2117764 2406550 2647205 3101300 3224777 3411430 4155742 4813100 5294410 6449554 6822860 8311484 8528575 10389355 10588820 12899108 13236025 16123885 17057150 20778710 22856581 26472050 32247770 34114300 35472547 41557420 45713162 51946775 52944100 64495540 70945094 80619425 91426324 103893550 114282905 141890188 161238850 177362735 207787100 228565810 322477700 354725470 457131620 571414525 709450940 886813675 1142829050 1492686703 1773627350 2285658100 2985373406 3547254700 5970746812 7463433515 14926867030 16419553733 29853734060 32839107466 37317167575 65678214932 74634335150 82097768665 100010009101 149268670300 164195537330 200020018202 328391074660 400040036404 410488843325 500050045505 820977686650 1000100091010 1100110100111 1641955373300 2000200182020 2200220200222 2500250227525 4400440400444 5000500455050 5500550500555 10001000910100 11001101001110 22002202002220 27502752502775 55005505005550 110011010011100