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2000110210110 = 233529823310379
BaseRepresentation
bin11101000110101111110…
…110111100110000111110
321002012122010020002211000
4131012233312330300332
5230232211203210420
64130500555111130
7264334411163235
oct35065766746076
97065563202730
102000110210110
11701273086321
12283774a424a6
131167c034125c
146cb3d37bb1c
15370629ec690
hex1d1afdbcc3e

2000110210110 has 128 divisors (see below), whose sum is σ = 5524267392000. Its totient is φ = 514343523456.

The previous prime is 2000110210051. The next prime is 2000110210121. The reversal of 2000110210110 is 110120110002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2000110210092 and 2000110210101.

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, 6288901 + ... + 6599279.

It is an arithmetic number, because the mean of its divisors is an integer number (43158339000).

Almost surely, 22000110210110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000110210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762133696000).

2000110210110 is an abundant number, since it is smaller than the sum of its proper divisors (3524157181890).

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

2000110210110 is a wasteful number, since it uses less digits than its factorization.

2000110210110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311247 (or 311241 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2000110210110 its reverse (110120110002), we get a palindrome (2110230320112).

The spelling of 2000110210110 in words is "two trillion, one hundred ten million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 823 870 1305 1566 1646 2469 2610 3915 4115 4938 7407 7830 8230 12345 14814 22221 23867 24690 37035 44442 47734 71601 74070 111105 119335 143202 214803 222210 238670 310379 358005 429606 620758 644409 716010 931137 1074015 1288818 1551895 1862274 2148030 2793411 3103790 3222045 4655685 5586822 6444090 8380233 9000991 9311370 13967055 16760466 18001982 27002973 27934110 41901165 45004955 54005946 81008919 83802330 90009910 135014865 162017838 243026757 255441917 270029730 405044595 486053514 510883834 766325751 810089190 1215133785 1277209585 1532651502 2298977253 2430267570 2554419170 3831628755 4597954506 6896931759 7407815593 7663257510 11494886265 13793863518 14815631186 22223446779 22989772530 34484658795 37039077965 44446893558 66670340337 68969317590 74078155930 111117233895 133340680674 200011021011 222234467790 333351701685 400022042022 666703403370 1000055105055 2000110210110