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11283406101 = 321119291311579
BaseRepresentation
bin10101000001000101…
…10001110100010101
31002010100201102022200
422200202301310111
5141102022443401
65103350315113
7546420240462
oct124042616425
932110642280
1011283406101
114870209010
12222a958a99
1310aa865476
147907a4669
154608c1686
hex2a08b1d15

11283406101 has 96 divisors (see below), whose sum is σ = 19521216000. Its totient is φ = 6203433600.

The previous prime is 11283406093. The next prime is 11283406103. The reversal of 11283406101 is 10160438211.

It is a happy number.

11283406101 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 3 + 40 + 610 + 1 = 666.

It is not a de Polignac number, because 11283406101 - 23 = 11283406093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11283406103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7145130 + ... + 7146708.

It is an arithmetic number, because the mean of its divisors is an integer number (203346000).

Almost surely, 211283406101 is an apocalyptic number.

11283406101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11283406101 is a deficient number, since it is larger than the sum of its proper divisors (8237809899).

11283406101 is a wasteful number, since it uses less digits than its factorization.

11283406101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11283406101 in words is "eleven billion, two hundred eighty-three million, four hundred six thousand, one hundred one".

Divisors: 1 3 9 11 19 29 33 57 87 99 131 171 209 261 319 393 551 627 957 1179 1441 1579 1653 1881 2489 2871 3799 4323 4737 4959 6061 7467 11397 12969 14211 17369 18183 22401 27379 30001 34191 41789 45791 52107 54549 72181 82137 90003 125367 137373 156321 206849 216543 246411 270009 330011 376101 412119 503701 620547 649629 793991 870029 990033 1511103 1861641 2275339 2381973 2610087 2970099 3930131 4533309 5998621 6826017 7145919 7830261 9570319 11790393 17995863 20478051 28710957 35371179 43231441 53987589 65984831 86132871 113973799 129694323 197954493 341921397 389082969 593863479 1025764191 1253711789 3761135367 11283406101