Search a number
-
+
10131221219 = 767145314867
BaseRepresentation
bin10010110111101111…
…00010101011100011
3222011001200100210112
421123313202223203
5131222043034334
64353151121535
7506026650050
oct113367425343
928131610715
1010131221219
1143298a04a9
121b68b132ab
13c55c42a72
146c1760027
153e467d4ce
hex25bde2ae3

10131221219 has 16 divisors (see below), whose sum is σ = 11760231168. Its totient is φ = 8547831072.

The previous prime is 10131221207. The next prime is 10131221231. The reversal of 10131221219 is 91212213101.

It is an interprime number because it is at equal distance from previous prime (10131221207) and next prime (10131221231).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10131221219 is a prime.

It is a super-2 number, since 2×101312212192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131221194 and 10131221203.

It is not an unprimeable number, because it can be changed into a prime (10131221239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674024 + ... + 688890.

It is an arithmetic number, because the mean of its divisors is an integer number (735014448).

Almost surely, 210131221219 is an apocalyptic number.

10131221219 is a deficient number, since it is larger than the sum of its proper divisors (1629009949).

10131221219 is a wasteful number, since it uses less digits than its factorization.

10131221219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16394.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 10131221219 in words is "ten billion, one hundred thirty-one million, two hundred twenty-one thousand, two hundred nineteen".

Divisors: 1 7 67 469 1453 10171 14867 97351 104069 681457 996089 6972623 21601751 151212257 1447317317 10131221219