Search a number
-
+
10202121202212 = 223210119114690387
BaseRepresentation
bin1001010001110101110111…
…0011110110101000100100
31100010022110100221011201200
42110131131303312220210
52314122421011432322
633410442331522500
72102036034252312
oct224353563665044
940108410834650
1010202121202212
1132837714a48a5
1211892a58b9430
13590095a79c24
14273adcc190b2
1512a5a971b8ac
hex9475dcf6a24

10202121202212 has 72 divisors (see below), whose sum is σ = 26180386831872. Its totient is φ = 3349408008000.

The previous prime is 10202121202199. The next prime is 10202121202213. The reversal of 10202121202212 is 21220212120201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10202121202213) 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 23 ways as a sum of consecutive naturals, for example, 6650718 + ... + 8039669.

It is an arithmetic number, because the mean of its divisors is an integer number (363616483776).

Almost surely, 210202121202212 is an apocalyptic number.

10202121202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10202121202212 is an abundant number, since it is smaller than the sum of its proper divisors (15978265629660).

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

10202121202212 is a wasteful number, since it uses less digits than its factorization.

10202121202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14690689 (or 14690684 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202121202212 its reverse (21220212120201), we get a palindrome (31422333322413).

The spelling of 10202121202212 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 191 202 303 382 404 573 606 764 909 1146 1212 1719 1818 2292 3438 3636 6876 19291 38582 57873 77164 115746 173619 231492 347238 694476 14690387 29380774 44071161 58761548 88142322 132213483 176284644 264426966 528853932 1483729087 2805863917 2967458174 4451187261 5611727834 5934916348 8417591751 8902374522 11223455668 13353561783 16835183502 17804749044 25252775253 26707123566 33670367004 50505550506 53414247132 101011101012 283392255617 566784511234 850176766851 1133569022468 1700353533702 2550530300553 3400707067404 5101060601106 10202121202212