Search a number
-
+
10122320103 = 373713027439
BaseRepresentation
bin10010110110101011…
…00101100011100111
3222010102221010202120
421123111211203213
5131212303220403
64352232241023
7505561205220
oct113325454347
928112833676
1010122320103
114324870a05
121b65b40173
13c5414742c
146c04c4247
153e39c0e53
hex25b5658e7

10122320103 has 16 divisors (see below), whose sum is σ = 15841367040. Its totient is φ = 5627853216.

The previous prime is 10122320101. The next prime is 10122320107. The reversal of 10122320103 is 30102322101.

It is not a de Polignac number, because 10122320103 - 21 = 10122320101 is a prime.

It is a super-2 number, since 2×101223201032 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122320101) 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 15 ways as a sum of consecutive naturals, for example, 6512943 + ... + 6514496.

It is an arithmetic number, because the mean of its divisors is an integer number (990085440).

Almost surely, 210122320103 is an apocalyptic number.

10122320103 is a deficient number, since it is larger than the sum of its proper divisors (5719046937).

10122320103 is a wasteful number, since it uses less digits than its factorization.

10122320103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13027486.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10122320103 its reverse (30102322101), we get a palindrome (40224642204).

The spelling of 10122320103 in words is "ten billion, one hundred twenty-two million, three hundred twenty thousand, one hundred three".

Divisors: 1 3 7 21 37 111 259 777 13027439 39082317 91192073 273576219 482015243 1446045729 3374106701 10122320103