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10001023232 = 281011812137
BaseRepresentation
bin10010101000001101…
…11000000100000000
3221210222200121201212
421110012320010000
5130440230220412
64332220345252
7502556203064
oct112406700400
927728617655
1010001023232
114272353862
121b313a5228
13c34c88135
146ac34baa4
153d8011222
hex2541b8100

10001023232 has 72 divisors (see below), whose sum is σ = 20281504152. Its totient is φ = 4921344000.

The previous prime is 10001023171. The next prime is 10001023247. The reversal of 10001023232 is 23232010001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36192256 + 9964830976 = 6016^2 + 99824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4678868 + ... + 4681004.

Almost surely, 210001023232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10140752076).

10001023232 is an abundant number, since it is smaller than the sum of its proper divisors (10280480920).

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

10001023232 is a wasteful number, since it uses less digits than its factorization.

10001023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10001023232 its reverse (23232010001), we get a palindrome (33233033233).

The spelling of 10001023232 in words is "ten billion, one million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 181 202 256 362 404 724 808 1448 1616 2137 2896 3232 4274 5792 6464 8548 11584 12928 17096 18281 23168 25856 34192 36562 46336 68384 73124 136768 146248 215837 273536 292496 386797 431674 547072 584992 773594 863348 1169984 1547188 1726696 2339968 3094376 3453392 4679936 6188752 6906784 12377504 13813568 24755008 27627136 39066497 49510016 55254272 78132994 99020032 156265988 312531976 625063952 1250127904 2500255808 5000511616 10001023232