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11261053551 = 311191031271373
BaseRepresentation
bin10100111110011011…
…00000101001101111
31002001210122210101110
422133031200221233
5141030312203201
65101231243103
7546026242626
oct123715405157
932053583343
1011261053551
114859631230
122223379493
1310a603a2c7
1478b8266bd
1545d9586d6
hex29f360a6f

11261053551 has 64 divisors (see below), whose sum is σ = 17559060480. Its totient is φ = 6347859840.

The previous prime is 11261053549. The next prime is 11261053603. The reversal of 11261053551 is 15535016211.

It is not a de Polignac number, because 11261053551 - 21 = 11261053549 is a prime.

It is a super-2 number, since 2×112610535512 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261053541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8201101 + ... + 8202473.

It is an arithmetic number, because the mean of its divisors is an integer number (274360320).

Almost surely, 211261053551 is an apocalyptic number.

11261053551 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11261053551 is a deficient number, since it is larger than the sum of its proper divisors (6298006929).

11261053551 is a wasteful number, since it uses less digits than its factorization.

11261053551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636.

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 11261053551 its reverse (15535016211), we get a palindrome (26796069762).

The spelling of 11261053551 in words is "eleven billion, two hundred sixty-one million, fifty-three thousand, five hundred fifty-one".

Divisors: 1 3 11 19 33 57 103 127 209 309 381 627 1133 1373 1397 1957 2413 3399 4119 4191 5871 7239 13081 15103 21527 26087 26543 39243 45309 64581 78261 79629 141419 143891 174371 248539 286957 424257 431673 523113 745617 860871 1555609 1918081 2686961 2733929 3313049 4666827 5754243 8060883 8201787 9939147 17960213 29556571 36443539 53880639 88669713 109330617 197562343 341244047 592687029 1023732141 3753684517 11261053551