Search a number
-
+
10011020202112 = 27318719289361
BaseRepresentation
bin1001000110101101111101…
…0011011001000010000000
31022110001012012200112011011
42101223133103121002000
52303010032132431422
633142555454130304
72052162261460366
oct221533723310200
938401165615134
1010011020202112
11320a716a0aa76
1211582524b0994
1357805c307287
1426877097b636
15125622673077
hex91adf4d9080

10011020202112 has 64 divisors (see below), whose sum is σ = 20589610982400. Its totient is φ = 4843469721600.

The previous prime is 10011020202103. The next prime is 10011020202119. The reversal of 10011020202112 is 21120202011001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10011020202092 and 10011020202101.

It is not an unprimeable number, because it can be changed into a prime (10011020202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34452312 + ... + 34741672.

It is an arithmetic number, because the mean of its divisors is an integer number (321712671600).

Almost surely, 210011020202112 is an apocalyptic number.

It is an amenable number.

10011020202112 is an abundant number, since it is smaller than the sum of its proper divisors (10578590780288).

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

10011020202112 is an equidigital number, since it uses as much as digits as its factorization.

10011020202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298125 (or 298113 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10011020202112 its reverse (21120202011001), we get a palindrome (31131222213113).

The spelling of 10011020202112 in words is "ten trillion, eleven billion, twenty million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 8719 17438 34876 69752 139504 270289 279008 289361 540578 558016 578722 1081156 1116032 1157444 2162312 2314888 4324624 4629776 8649248 8970191 9259552 17298496 17940382 18519104 34596992 35880764 37038208 71761528 143523056 287046112 574092224 1148184448 2522938559 5045877118 10091754236 20183508472 40367016944 78211095329 80734033888 156422190658 161468067776 312844381316 322936135552 625688762632 1251377525264 2502755050528 5005510101056 10011020202112