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102102010110 = 23351497273491
BaseRepresentation
bin101111100010111000…
…0010000100011111110
3100202112122221112001000
41133011300100203332
53133101103310420
6114523252231130
710243116523602
oct1370560204376
9322478845030
10102102010110
113a334a17441
121795590b4a6
1398221524c9
144d282b1502
1529c8a4c690
hex17c5c108fe

102102010110 has 128 divisors (see below), whose sum is σ = 274555008000. Its totient is φ = 26999533440.

The previous prime is 102102010061. The next prime is 102102010123. The reversal of 102102010110 is 11010201201.

It is a happy number.

102102010110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 102102010092 and 102102010101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29245465 + ... + 29248955.

It is an arithmetic number, because the mean of its divisors is an integer number (2144961000).

Almost surely, 2102102010110 is an apocalyptic number.

102102010110 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 102102010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137277504000).

102102010110 is an abundant number, since it is smaller than the sum of its proper divisors (172452997890).

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

102102010110 is a wasteful number, since it uses less digits than its factorization.

102102010110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4377 counting only the distinct ones).

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

Adding to 102102010110 its reverse (11010201201), we get a palindrome (113112211311).

The spelling of 102102010110 in words is "one hundred two billion, one hundred two million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 149 270 298 447 727 745 894 1341 1454 1490 2181 2235 2682 3491 3635 4023 4362 4470 6543 6705 6982 7270 8046 10473 10905 13086 13410 17455 19629 20115 20946 21810 31419 32715 34910 39258 40230 52365 62838 65430 94257 98145 104730 108323 157095 188514 196290 216646 314190 324969 471285 520159 541615 649938 942570 974907 1040318 1083230 1560477 1624845 1949814 2537957 2600795 2924721 3120954 3249690 4681431 4874535 5075914 5201590 5849442 7613871 7802385 9362862 9749070 12689785 14044293 14623605 15227742 15604770 22841613 23407155 25379570 28088586 29247210 38069355 45683226 46814310 68524839 70221465 76138710 114208065 137049678 140442930 228416130 342624195 378155593 685248390 756311186 1134466779 1890777965 2268933558 3403400337 3781555930 5672333895 6806800674 10210201011 11344667790 17017001685 20420402022 34034003370 51051005055 102102010110