Search a number
-
+
10120100111 = 11383101907
BaseRepresentation
bin10010110110011010…
…00111100100001111
3222010021202100111122
421123031013210033
5131211221200421
64352112511155
7505533301022
oct113315074417
928107670448
1010120100111
114323595000
121b6524b4bb
13c5384ab24
146c00a71b9
153e36d32ab
hex25b34790f

10120100111 has 32 divisors (see below), whose sum is σ = 11389545216. Its totient is φ = 8989332000.

The previous prime is 10120100099. The next prime is 10120100147. The reversal of 10120100111 is 11100102101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-10120100111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120100191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11157320 + ... + 11158226.

It is an arithmetic number, because the mean of its divisors is an integer number (355923288).

Almost surely, 210120100111 is an apocalyptic number.

10120100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120100111 is a deficient number, since it is larger than the sum of its proper divisors (1269445105).

10120100111 is an equidigital number, since it uses as much as digits as its factorization.

10120100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10120100111 its reverse (11100102101), we get a palindrome (21220202212).

The spelling of 10120100111 in words is "ten billion, one hundred twenty million, one hundred thousand, one hundred eleven".

Divisors: 1 11 83 101 121 907 913 1111 1331 8383 9977 10043 12221 75281 91607 92213 109747 110473 134431 828091 1007677 1014343 1207217 7603381 9109001 11084447 11157773 83637191 100199011 121928917 920009101 10120100111