Search a number
-
+
10120221111 = 3711213306367
BaseRepresentation
bin10010110110011011…
…00101000110110111
3222010021222111111010
421123031211012313
5131211234033421
64352115243303
7505534313550
oct113315450667
928107874433
1010120221111
114323667a00
121b652a9533
13c53890c20
146c00d9327
153e3709076
hex25b3651b7

10120221111 has 48 divisors (see below), whose sum is σ = 18254630912. Its totient is φ = 4852837440.

The previous prime is 10120221071. The next prime is 10120221113. The reversal of 10120221111 is 11112202101.

It is not a de Polignac number, because 10120221111 - 211 = 10120219063 is a prime.

It is a super-4 number, since 4×101202211114 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120221113) 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 47 ways as a sum of consecutive naturals, for example, 120151 + ... + 186216.

Almost surely, 210120221111 is an apocalyptic number.

10120221111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120221111 is a deficient number, since it is larger than the sum of its proper divisors (8134409801).

10120221111 is a wasteful number, since it uses less digits than its factorization.

10120221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306412 (or 306401 counting only the distinct ones).

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

Adding to 10120221111 its reverse (11112202101), we get a palindrome (21232423212).

The spelling of 10120221111 in words is "ten billion, one hundred twenty million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 4719 11011 33033 306367 919101 2144569 3370037 3982771 6433707 10110111 11948313 23590259 27879397 37070407 43810481 70770777 83638191 111211221 131431443 259492849 306673367 481915291 778478547 920020101 1445745873 3373407037 10120221111