Search a number
-
+
10202121110010 = 2352771682372977
BaseRepresentation
bin1001010001110101110111…
…0011100000000111111010
31100010022110100202111020210
42110131131303200013322
52314122421001010020
633410442325531550
72102036033416434
oct224353563400772
940108410674223
1010202121110010
1132837714415a5
1211892a5873bb6
13590095a46c7b
14273adcbd3654
1512a5a96ee3e0
hex9475dce01fa

10202121110010 has 64 divisors (see below), whose sum is σ = 24575281949952. Its totient is φ = 2710545816576.

The previous prime is 10202121109993. The next prime is 10202121110017. The reversal of 10202121110010 is 1001112120201.

It is not an unprimeable number, because it can be changed into a prime (10202121110017) by changing a digit.

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, 139762642 + ... + 139835618.

It is an arithmetic number, because the mean of its divisors is an integer number (383988780468).

Almost surely, 210202121110010 is an apocalyptic number.

10202121110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202121110010 is an abundant number, since it is smaller than the sum of its proper divisors (14373160839942).

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

10202121110010 is a wasteful number, since it uses less digits than its factorization.

10202121110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90087.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10202121110010 its reverse (1001112120201), we get a palindrome (11203233230211).

The spelling of 10202121110010 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 277 554 831 1385 1662 2770 4155 8310 16823 33646 50469 72977 84115 100938 145954 168230 218931 252345 364885 437862 504690 729770 1094655 2189310 4659971 9319942 13979913 20214629 23299855 27959826 40429258 46599710 60643887 69899565 101073145 121287774 139799130 202146290 303219435 606438870 1227692071 2455384142 3683076213 6138460355 7366152426 12276920710 18415381065 36830762130 340070703667 680141407334 1020212111001 1700353518335 2040424222002 3400707036670 5101060555005 10202121110010