Search a number
-
+
10010152103500 = 2253238211060229
BaseRepresentation
bin1001000110101010101110…
…0011110110111001001100
31022102221221201012112201201
42101222223203312321030
52303001242414303000
633142333403515244
72052131620656553
oct221525343667114
938387851175651
1010010152103500
11320a3109976aa
12115804b828b24
13577c51500163
142686cb566d9a
151255c134896a
hex91aab8f6e4c

10010152103500 has 96 divisors (see below), whose sum is σ = 22840509444480. Its totient is φ = 3825302624000.

The previous prime is 10010152103461. The next prime is 10010152103561. The reversal of 10010152103500 is 530125101001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8911386 + ... + 9971614.

It is an arithmetic number, because the mean of its divisors is an integer number (237921973380).

Almost surely, 210010152103500 is an apocalyptic number.

10010152103500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010152103500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11420254722240).

10010152103500 is an abundant number, since it is smaller than the sum of its proper divisors (12830357340980).

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

10010152103500 is a wasteful number, since it uses less digits than its factorization.

10010152103500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061092 (or 1061080 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 10010152103500 its reverse (530125101001), we get a palindrome (10540277204501).

The spelling of 10010152103500 in words is "ten trillion, ten billion, one hundred fifty-two million, one hundred three thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 821 1150 1642 2300 2875 3284 4105 5750 8210 11500 16420 18883 20525 37766 41050 75532 82100 94415 102625 188830 205250 377660 410500 472075 944150 1060229 1888300 2120458 2360375 4240916 4720750 5301145 9441500 10602290 21204580 24385267 26505725 48770534 53011450 97541068 106022900 121926335 132528625 243852670 265057250 487705340 530114500 609631675 870448009 1219263350 1740896018 2438526700 3048158375 3481792036 4352240045 6096316750 8704480090 12192633500 17408960180 20020304207 21761200225 40040608414 43522400450 80081216828 87044800900 100101521035 108806001125 200203042070 217612002250 400406084140 435224004500 500507605175 1001015210350 2002030420700 2502538025875 5005076051750 10010152103500