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11200431232 = 271725120507
BaseRepresentation
bin10100110111001100…
…10000010010000000
31001220120120212012101
422123212100102000
5140414302244412
65051224040144
7544362044314
oct123346202200
931816525171
1011200431232
114828395841
122207003054
131096603003
14783765b44
15458481457
hex29b990480

11200431232 has 64 divisors (see below), whose sum is σ = 23721193440. Its totient is φ = 5249536000.

The previous prime is 11200431199. The next prime is 11200431241. The reversal of 11200431232 is 23213400211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×112004312322 (a number of 21 digits) contains 22 as substring.

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, 535923 + ... + 556429.

Almost surely, 211200431232 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 11200431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860596720).

11200431232 is an abundant number, since it is smaller than the sum of its proper divisors (12520762208).

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

11200431232 is a wasteful number, since it uses less digits than its factorization.

11200431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20789 (or 20777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11200431232 its reverse (23213400211), we get a palindrome (34413831443).

The spelling of 11200431232 in words is "eleven billion, two hundred million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 251 272 502 544 1004 1088 2008 2176 4016 4267 8032 8534 16064 17068 20507 32128 34136 41014 68272 82028 136544 164056 273088 328112 348619 546176 656224 697238 1312448 1394476 2624896 2788952 5147257 5577904 10294514 11155808 20589028 22311616 41178056 44623232 82356112 87503369 164712224 175006738 329424448 350013476 658848896 700026952 1400053904 2800107808 5600215616 11200431232