Search a number
-
+
102138317610 = 23571728610173
BaseRepresentation
bin101111100011111101…
…0110000101100101010
3100202122012021010120020
41133013322300230222
53133134402130420
6114531030341310
710244040242430
oct1370772605452
9322565233506
10102138317610
113a35346583a
1217965aba836
139829825434
144d2d042d50
1529cbd20340
hex17c7eb0b2a

102138317610 has 64 divisors (see below), whose sum is σ = 296630284032. Its totient is φ = 21972612096.

The previous prime is 102138317599. The next prime is 102138317647. The reversal of 102138317610 is 16713831201.

It is a super-2 number, since 2×1021383176102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14301517 + ... + 14308656.

It is an arithmetic number, because the mean of its divisors is an integer number (4634848188).

Almost surely, 2102138317610 is an apocalyptic number.

102138317610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102138317610 is an abundant number, since it is smaller than the sum of its proper divisors (194491966422).

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

102138317610 is a wasteful number, since it uses less digits than its factorization.

102138317610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28610207.

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 102138317610 in words is "one hundred two billion, one hundred thirty-eight million, three hundred seventeen thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 28610173 57220346 85830519 143050865 171661038 200271211 286101730 400542422 429152595 486372941 600813633 858305190 972745882 1001356055 1201627266 1459118823 2002712110 2431864705 2918237646 3004068165 3404610587 4863729410 6008136330 6809221174 7295594115 10213831761 14591188230 17023052935 20427663522 34046105870 51069158805 102138317610