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102110011110 = 23253731198597
BaseRepresentation
bin101111100011000111…
…0110001111011100110
3100202120020000000100100
41133012032301323212
53133110130323420
6114524135524530
710243244526252
oct1370616617346
9322506000310
10102110011110
113a339491738
1217958529746
1398239c4223
144d29395262
1529c95cd190
hex17c63b1ee6

102110011110 has 96 divisors (see below), whose sum is σ = 273540825792. Its totient is φ = 26407952640.

The previous prime is 102110011067. The next prime is 102110011229. The reversal of 102110011110 is 11110011201.

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 = 102110011092 and 102110011101.

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, 986332 + ... + 1084928.

It is an arithmetic number, because the mean of its divisors is an integer number (2849383602).

Almost surely, 2102110011110 is an apocalyptic number.

102110011110 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 102110011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136770412896).

102110011110 is an abundant number, since it is smaller than the sum of its proper divisors (171430814682).

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

102110011110 is a wasteful number, since it uses less digits than its factorization.

102110011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98958 (or 98955 counting only the distinct ones).

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

Adding to 102110011110 its reverse (11110011201), we get a palindrome (113220022311).

Subtracting from 102110011110 its reverse (11110011201), we obtain a palindrome (90999999909).

The spelling of 102110011110 in words is "one hundred two billion, one hundred ten million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 311 333 370 555 622 666 933 1110 1555 1665 1866 2799 3110 3330 4665 5598 9330 11507 13995 23014 27990 34521 57535 69042 98597 103563 115070 172605 197194 207126 295791 345210 492985 517815 591582 887373 985970 1035630 1478955 1774746 2957910 3648089 4436865 7296178 8873730 10944267 18240445 21888534 30663667 32832801 36480890 54721335 61327334 65665602 91991001 109442670 153318335 164164005 183982002 275973003 306636670 328328010 459955005 551946006 919910010 1134555679 1379865015 2269111358 2759730030 3403667037 5672778395 6807334074 10211001111 11345556790 17018335185 20422002222 34036670370 51055005555 102110011110