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102110010210 = 23451313969763
BaseRepresentation
bin101111100011000111…
…0110001101101100010
3100202120012222222010000
41133012032301231202
53133110130311320
6114524135520430
710243244523525
oct1370616615542
9322505888100
10102110010210
113a339490a9a
1217958529116
1398239c39b0
144d29394bbc
1529c95ccc90
hex17c63b1b62

102110010210 has 160 divisors (see below), whose sum is σ = 297814144320. Its totient is φ = 24953588352.

The previous prime is 102110010209. The next prime is 102110010239. The reversal of 102110010210 is 12010011201.

It is a happy number.

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 = 102110010192 and 102110010201.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1428789 + ... + 1498551.

It is an arithmetic number, because the mean of its divisors is an integer number (1861338402).

Almost surely, 2102110010210 is an apocalyptic number.

102110010210 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 102110010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148907072160).

102110010210 is an abundant number, since it is smaller than the sum of its proper divisors (195704134110).

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

102110010210 is a wasteful number, since it uses less digits than its factorization.

102110010210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69934 (or 69925 counting only the distinct ones).

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

Adding to 102110010210 its reverse (12010011201), we get a palindrome (114120021411).

Subtracting from 102110010210 its reverse (12010011201), we obtain a palindrome (90099999009).

The spelling of 102110010210 in words is "one hundred two billion, one hundred ten million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 139 162 195 234 270 278 351 390 405 417 585 695 702 810 834 1053 1170 1251 1390 1755 1807 2085 2106 2502 3510 3614 3753 4170 5265 5421 6255 7506 9035 10530 10842 11259 12510 16263 18070 18765 22518 27105 32526 37530 48789 54210 56295 69763 81315 97578 112590 139526 146367 162630 209289 243945 292734 348815 418578 487890 627867 697630 731835 906919 1046445 1255734 1463670 1813838 1883601 2092890 2720757 3139335 3767202 4534595 5441514 5650803 6278670 8162271 9069190 9418005 9697057 11301606 13603785 16324542 18836010 19394114 24486813 27207570 28254015 29091171 40811355 48485285 48973626 56508030 58182342 73460439 81622710 87273513 96970570 122434065 126061741 145455855 146920878 174547026 244868130 252123482 261820539 290911710 367302195 378185223 436367565 523641078 630308705 734604390 756370446 785461617 872735130 1134555669 1260617410 1309102695 1570923234 1890926115 2269111338 2618205390 3403667007 3781852230 3927308085 5672778345 6807334014 7854616170 10211001021 11345556690 17018335035 20422002042 34036670070 51055005105 102110010210