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110110001010100 = 2252713113107079647
BaseRepresentation
bin11001000010010011111011…
…011111110001010110110100
3112102212102011021212002002021
4121002103323133301112310
5103413020240224310400
61030103500335122524
732123120320625110
oct3102237337612664
9472772137762067
10110110001010100
11320a24310101a3
1210424080673444
134959436a63050
141d294d1308740
15cae33195971a
hex6424fb7f15b4

110110001010100 has 144 divisors (see below), whose sum is σ = 296680869209088. Its totient is φ = 34539610613760.

The previous prime is 110110001010041. The next prime is 110110001010109. The reversal of 110110001010100 is 1010100011011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110001010109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52511524 + ... + 54568123.

It is an arithmetic number, because the mean of its divisors is an integer number (2060283813952).

Almost surely, 2110110001010100 is an apocalyptic number.

110110001010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110001010100 is an abundant number, since it is smaller than the sum of its proper divisors (186570868198988).

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

110110001010100 is a wasteful number, since it uses less digits than its factorization.

110110001010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107079794 (or 107079787 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110110001010100 its reverse (1010100011011), we get a palindrome (111120101021111).

The spelling of 110110001010100 in words is "one hundred ten trillion, one hundred ten billion, one million, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 113 130 140 175 182 226 260 325 350 364 452 455 565 650 700 791 910 1130 1300 1469 1582 1820 2260 2275 2825 2938 3164 3955 4550 5650 5876 7345 7910 9100 10283 11300 14690 15820 19775 20566 29380 36725 39550 41132 51415 73450 79100 102830 146900 205660 257075 514150 1028300 107079647 214159294 428318588 535398235 749557529 1070796470 1392035411 1499115058 2141592940 2676991175 2784070822 2998230116 3747787645 5353982350 5568141644 6960177055 7495575290 9744247877 10707964700 12100000111 13920354110 14991150580 18738938225 19488495754 24200000222 27840708220 34800885275 37477876450 38976991508 48400000444 48721239385 60500000555 69601770550 74955752900 84700000777 97442478770 121000001110 139203541100 157300001443 169400001554 194884957540 242000002220 243606196925 302500002775 314600002886 338800003108 423500003885 487212393850 605000005550 629200005772 786500007215 847000007770 974424787700 1101100010101 1210000011100 1573000014430 1694000015540 2117500019425 2202200020202 3146000028860 3932500036075 4235000038850 4404400040404 5505500050505 7865000072150 8470000077700 11011000101010 15730000144300 22022000202020 27527500252525 55055000505050 110110001010100