Search a number
-
+
102001012211 = 71312693891063
BaseRepresentation
bin101111011111110111…
…0111110110111110011
3100202021121220021222002
41132333232332313303
53132344224342321
6114505243404215
710240452204230
oct1367756766763
9322247807862
10102001012211
113a292a041aa
1217927b2366b
13980724c737
144d18b00787
1529bec4c20b
hex17bfbbedf3

102001012211 has 32 divisors (see below), whose sum is σ = 118313395200. Its totient is φ = 86136186240.

The previous prime is 102001012103. The next prime is 102001012301. The reversal of 102001012211 is 112210100201.

It is a cyclic number.

It is not a de Polignac number, because 102001012211 - 226 = 101933903347 is a prime.

It is a super-2 number, since 2×1020010122112 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102001012192 and 102001012201.

It is not an unprimeable number, because it can be changed into a prime (102001012511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95955266 + ... + 95956328.

It is an arithmetic number, because the mean of its divisors is an integer number (3697293600).

Almost surely, 2102001012211 is an apocalyptic number.

102001012211 is a deficient number, since it is larger than the sum of its proper divisors (16312382989).

102001012211 is a wasteful number, since it uses less digits than its factorization.

102001012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102001012211 its reverse (112210100201), we get a palindrome (214211112412).

The spelling of 102001012211 in words is "one hundred two billion, one million, twelve thousand, two hundred eleven".

Divisors: 1 7 131 269 389 917 1063 1883 2723 7441 35239 50959 104641 139253 246673 285947 356713 413507 732487 974771 2001629 2894549 13707971 37459057 54169417 95955797 111233383 262213399 379185919 778633681 14571573173 102001012211