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10144632213 = 34373384929
BaseRepresentation
bin10010111001010101…
…01100110110010101
3222011222220201020000
421130222230312111
5131234011212323
64354350401513
7506251644132
oct113452546625
928158821200
1010144632213
114336420371
121b71500299
13c5895a071
146c3451589
153e592be43
hex25caacd95

10144632213 has 20 divisors (see below), whose sum is σ = 15563908140. Its totient is φ = 6580300032.

The previous prime is 10144632193. The next prime is 10144632227. The reversal of 10144632213 is 31223644101.

It is a happy number.

10144632213 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 632 + 21 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4620872529 + 5523759684 = 67977^2 + 74322^2 .

It is not a de Polignac number, because 10144632213 - 25 = 10144632181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144632263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1689468 + ... + 1695461.

It is an arithmetic number, because the mean of its divisors is an integer number (778195407).

Almost surely, 210144632213 is an apocalyptic number.

It is an amenable number.

10144632213 is a deficient number, since it is larger than the sum of its proper divisors (5419275927).

10144632213 is an equidigital number, since it uses as much as digits as its factorization.

10144632213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384978 (or 3384969 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10144632213 in words is "ten billion, one hundred forty-four million, six hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 9 27 37 81 111 333 999 2997 3384929 10154787 30464361 91393083 125242373 274179249 375727119 1127181357 3381544071 10144632213