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11102032002321 = 32133111327087971
BaseRepresentation
bin1010000110001110010010…
…1011000111110100010001
31110022100021200212102201100
42201203210223013310101
52423343430143033241
635340111511255013
72224044462662001
oct241434453076421
943270250772640
1011102032002321
1135a03886aa477
1212b379407a469
13626bbcc04320
142a54ac422001
15143bc8ec89b6
hexa18e4ac7d11

11102032002321 has 48 divisors (see below), whose sum is σ = 17984679777792. Its totient is φ = 6553121702400.

The previous prime is 11102032002287. The next prime is 11102032002329. The reversal of 11102032002321 is 12320023020111.

11102032002321 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 20 + 320 + 0 + 2 + 321 = 666.

It is not a de Polignac number, because 11102032002321 - 243 = 2305938980113 is a prime.

It is a super-2 number, since 2×111020320023212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11102032002294 and 11102032002303.

It is not an unprimeable number, because it can be changed into a prime (11102032002329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13134135 + ... + 13953836.

It is an arithmetic number, because the mean of its divisors is an integer number (374680828704).

Almost surely, 211102032002321 is an apocalyptic number.

It is an amenable number.

11102032002321 is a deficient number, since it is larger than the sum of its proper divisors (6882647775471).

11102032002321 is a wasteful number, since it uses less digits than its factorization.

11102032002321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27088134 (or 27088131 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11102032002321 its reverse (12320023020111), we get a palindrome (23422055022432).

The spelling of 11102032002321 in words is "eleven trillion, one hundred two billion, thirty-two million, two thousand, three hundred twenty-one".

Divisors: 1 3 9 13 31 39 93 113 117 279 339 403 1017 1209 1469 3503 3627 4407 10509 13221 31527 45539 136617 409851 27087971 81263913 243791739 352143623 839727101 1056430869 2519181303 3060940723 3169292607 7557543909 9182822169 10916452313 27548466507 32749356939 39792229399 94889162413 98248070817 119376688197 284667487239 358130064591 854002461717 1233559111369 3700677334107 11102032002321