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11196801 = 32711107151
BaseRepresentation
bin101010101101…
…100110000001
3210001212010100
4222231212001
510331244201
61035553013
7164112510
oct52554601
923055110
1011196801
116358360
1238bb769
132420535
1416b6677
15eb2886
hexaad981

11196801 has 48 divisors (see below), whose sum is σ = 20487168. Its totient is φ = 5724000.

The previous prime is 11196799. The next prime is 11196827. The reversal of 11196801 is 10869111.

It is not a de Polignac number, because 11196801 - 21 = 11196799 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11196881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74076 + ... + 74226.

It is an arithmetic number, because the mean of its divisors is an integer number (426816).

Almost surely, 211196801 is an apocalyptic number.

11196801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11196801 is a deficient number, since it is larger than the sum of its proper divisors (9290367).

11196801 is a wasteful number, since it uses less digits than its factorization.

11196801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 11196801 is about 3346.1621299632. The cubic root of 11196801 is about 223.7164846859.

The spelling of 11196801 in words is "eleven million, one hundred ninety-six thousand, eight hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 107 151 231 321 453 693 749 963 1057 1177 1359 1661 2247 3171 3531 4983 6741 8239 9513 10593 11627 14949 16157 24717 34881 48471 74151 104643 113099 145413 177727 339297 533181 1017891 1244089 1599543 3732267 11196801