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11100001000332 = 22337211157975037
BaseRepresentation
bin1010000110000110101110…
…0111011101101110001100
31110022011001011011211202110
42201201223213131232030
52423330300224002312
635335134200024020
72223643241516256
oct241415347355614
943264034154673
1011100001000332
11359a536208632
1212b3307a62010
136269581c3bba
142a53587b6cd6
15143b0aa4043c
hexa186b9ddb8c

11100001000332 has 96 divisors (see below), whose sum is σ = 26743351102720. Its totient is φ = 3580621873920.

The previous prime is 11100001000273. The next prime is 11100001000339. The reversal of 11100001000332 is 23300010000111.

It is a super-2 number, since 2×111000010003322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11100001000339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147889518 + ... + 147964554.

Almost surely, 211100001000332 is an apocalyptic number.

11100001000332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11100001000332 is an abundant number, since it is smaller than the sum of its proper divisors (15643350102388).

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

11100001000332 is a wasteful number, since it uses less digits than its factorization.

11100001000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76871 (or 76869 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11100001000332 its reverse (23300010000111), we get a palindrome (34400011000443).

The spelling of 11100001000332 in words is "eleven trillion, one hundred billion, one million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 37 74 111 148 211 222 422 444 633 844 1266 1579 2532 3158 4737 6316 7807 9474 15614 18948 23421 31228 46842 58423 75037 93684 116846 150074 175269 225111 233692 300148 333169 350538 450222 666338 701076 900444 999507 1332676 1999014 2776369 3998028 5552738 8329107 11105476 12327253 15832807 16658214 24654506 31665614 33316428 36981759 47498421 49309012 63331228 73963518 94996842 118483423 147927036 189993684 236966846 355450269 473933692 585813859 710900538 1171627718 1421801076 1757441577 2343255436 3514883154 4383886651 7029766308 8767773302 13151659953 17535546604 25000002253 26303319906 50000004506 52606639812 75000006759 100000009012 150000013518 300000027036 925000083361 1850000166722 2775000250083 3700000333444 5550000500166 11100001000332