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2110000111110 = 2325371847343061
BaseRepresentation
bin11110101101000101110…
…011101001111000000110
321110201021112110110202100
4132231011303221320012
5234032240012023420
64253153133052530
7305304525010323
oct36550563517006
97421245413670
102110000111110
11743934067421
122a0b22927146
13123c83a9ca08
14741a5aa1b4a
1539d450e8190
hex1eb45ce9e06

2110000111110 has 96 divisors (see below), whose sum is σ = 5637337497792. Its totient is φ = 547161488640.

The previous prime is 2110000111097. The next prime is 2110000111111. The reversal of 2110000111110 is 111110000112.

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

It is a junction number, because it is equal to n+sod(n) for n = 2110000111092 and 2110000111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110000111111) 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, 5978980 + ... + 6322040.

It is an arithmetic number, because the mean of its divisors is an integer number (58722265602).

Almost surely, 22110000111110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110000111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818668748896).

2110000111110 is an abundant number, since it is smaller than the sum of its proper divisors (3527337386682).

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

2110000111110 is a wasteful number, since it uses less digits than its factorization.

2110000111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344958 (or 344955 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2110000111110 its reverse (111110000112), we get a palindrome (2221110111222).

The spelling of 2110000111110 in words is "two trillion, one hundred ten billion, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 1847 3330 3694 5541 9235 11082 16623 18470 27705 33246 55410 68339 83115 136678 166230 205017 341695 343061 410034 615051 683390 686122 1025085 1029183 1230102 1715305 2050170 2058366 3075255 3087549 3430610 5145915 6150510 6175098 10291830 12693257 15437745 25386514 30875490 38079771 63466285 76159542 114239313 126932570 190398855 228478626 380797710 571196565 633633667 1142393130 1267267334 1900901001 3168168335 3801802002 5702703003 6336336670 9504505005 11405406006 19009010010 23444445679 28513515015 46888891358 57027030030 70333337037 117222228395 140666674074 211000011111 234444456790 351666685185 422000022222 703333370370 1055000055555 2110000111110