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10144100223 = 328591312133
BaseRepresentation
bin10010111001010001…
…01010111101111111
3222011221220200110200
421130220222331333
5131233342201343
64354331134543
7506244300135
oct113450527577
928157820420
1010144100223
114336097704
121b712a4453
13c58801b8a
146c3353755
153e58744d3
hex25ca2af7f

10144100223 has 12 divisors (see below), whose sum is σ = 14669658120. Its totient is φ = 6754855536.

The previous prime is 10144100189. The next prime is 10144100233. The reversal of 10144100223 is 32200144101.

10144100223 is a `hidden beast` number, since 1 + 0 + 1 + 441 + 0 + 0 + 223 = 666.

It is not a de Polignac number, because 10144100223 - 226 = 10076991359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10144100196 and 10144100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144100233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 648336 + ... + 663797.

It is an arithmetic number, because the mean of its divisors is an integer number (1222471510).

Almost surely, 210144100223 is an apocalyptic number.

10144100223 is a deficient number, since it is larger than the sum of its proper divisors (4525557897).

10144100223 is a wasteful number, since it uses less digits than its factorization.

10144100223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312998 (or 1312995 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10144100223 its reverse (32200144101), we get a palindrome (42344244324).

The spelling of 10144100223 in words is "ten billion, one hundred forty-four million, one hundred thousand, two hundred twenty-three".

Divisors: 1 3 9 859 2577 7731 1312133 3936399 11809197 1127122247 3381366741 10144100223