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10213124224 = 27137582409
BaseRepresentation
bin10011000001011111…
…11110100010000000
3222100202210110121011
421200233332202000
5131404024433344
64405234410304
7511043060242
oct114057764200
928322713534
1010213124224
114371051436
121b90430994
13c69bbb394
146cc5a0092
153eb95ad34
hex260bfe880

10213124224 has 32 divisors (see below), whose sum is σ = 20495007900. Its totient is φ = 5069279232.

The previous prime is 10213124219. The next prime is 10213124237. The reversal of 10213124224 is 42242131201.

It can be written as a sum of positive squares in 2 ways, for example, as 10113922624 + 99201600 = 100568^2 + 9960^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 10213124195 and 10213124204.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273669 + ... + 308740.

Almost surely, 210213124224 is an apocalyptic number.

It is an amenable number.

10213124224 is an abundant number, since it is smaller than the sum of its proper divisors (10281883676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10213124224 is an equidigital number, since it uses as much as digits as its factorization.

10213124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582560 (or 582548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10213124224 its reverse (42242131201), we get a palindrome (52455255425).

The spelling of 10213124224 in words is "ten billion, two hundred thirteen million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8768 17536 582409 1164818 2329636 4659272 9318544 18637088 37274176 74548352 79790033 159580066 319160132 638320264 1276640528 2553281056 5106562112 10213124224