Search a number
-
+
102971216970 = 23251767301449
BaseRepresentation
bin101111111100110010…
…0000001010001001010
3100211210020111210200200
41133321210001101022
53141341112420340
6115145422313030
710303502621436
oct1377144012112
9324706453620
10102971216970
113a740627416
1217b58a28776
139930256bab
144dab8d39c6
152a29ee5330
hex17f990144a

102971216970 has 48 divisors (see below), whose sum is σ = 283473707400. Its totient is φ = 25843756032.

The previous prime is 102971216969. The next prime is 102971217007. The reversal of 102971216970 is 79612179201.

It can be written as a sum of positive squares in 4 ways, for example, as 102942797409 + 28419561 = 320847^2 + 5331^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33649195 + ... + 33652254.

Almost surely, 2102971216970 is an apocalyptic number.

102971216970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102971216970 is an abundant number, since it is smaller than the sum of its proper divisors (180502490430).

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

102971216970 is a wasteful number, since it uses less digits than its factorization.

102971216970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67301479 (or 67301476 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 102971216970 in words is "one hundred two billion, nine hundred seventy-one million, two hundred sixteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 67301449 134602898 201904347 336507245 403808694 605713041 673014490 1009521735 1144124633 1211426082 2019043470 2288249266 3028565205 3432373899 5720623165 6057130410 6864747798 10297121697 11441246330 17161869495 20594243394 34323738990 51485608485 102971216970