Search a number
-
+
10214111415 = 3531132716553
BaseRepresentation
bin10011000001100111…
…01111100010110111
3222100211122121202210
421200303233202313
5131404303031130
64405311504503
7511054341324
oct114063574267
928324577683
1010214111415
1143716660a2
121b90828133
13c6a175811
146cc779b4b
153ebaa35b0
hex260cef8b7

10214111415 has 32 divisors (see below), whose sum is σ = 16883490816. Its totient is φ = 5267508480.

The previous prime is 10214111363. The next prime is 10214111417. The reversal of 10214111415 is 51411141201.

It is not a de Polignac number, because 10214111415 - 26 = 10214111351 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10214111391 and 10214111400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214111417) 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 31 ways as a sum of consecutive naturals, for example, 608779 + ... + 625331.

It is an arithmetic number, because the mean of its divisors is an integer number (527609088).

Almost surely, 210214111415 is an apocalyptic number.

10214111415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10214111415 is a deficient number, since it is larger than the sum of its proper divisors (6669379401).

10214111415 is a wasteful number, since it uses less digits than its factorization.

10214111415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17919.

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 10214111415 its reverse (51411141201), we get a palindrome (61625252616).

The spelling of 10214111415 in words is "ten billion, two hundred fourteen million, one hundred eleven thousand, four hundred fifteen".

Divisors: 1 3 5 15 31 93 155 465 1327 3981 6635 16553 19905 41137 49659 82765 123411 205685 248295 513143 617055 1539429 2565715 7697145 21965831 65897493 109829155 329487465 680940761 2042822283 3404703805 10214111415