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11533251330 = 2325236199001
BaseRepresentation
bin10101011110110111…
…10111001100000010
31002202202211212112200
422233123313030002
5142110003020310
65144233334030
7555543006306
oct125733671402
932682755480
1011533251330
114989246477
12229a567316
13111a552593
147b5a3dd06
154777c49c0
hex2af6f7302

11533251330 has 96 divisors (see below), whose sum is σ = 31344243840. Its totient is φ = 2936736000.

The previous prime is 11533251269. The next prime is 11533251341. The reversal of 11533251330 is 3315233511.

11533251330 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 325 + 1 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11533251294 and 11533251303.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1276830 + ... + 1285830.

It is an arithmetic number, because the mean of its divisors is an integer number (326502540).

Almost surely, 211533251330 is an apocalyptic number.

11533251330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11533251330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672121920).

11533251330 is an abundant number, since it is smaller than the sum of its proper divisors (19810992510).

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

11533251330 is a wasteful number, since it uses less digits than its factorization.

11533251330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656 (or 9653 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 11533251330 its reverse (3315233511), we get a palindrome (14848484841).

The spelling of 11533251330 in words is "eleven billion, five hundred thirty-three million, two hundred fifty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 619 690 1035 1238 1857 2070 3095 3714 5571 6190 9001 9285 11142 14237 18002 18570 27003 27855 28474 42711 45005 54006 55710 71185 81009 85422 90010 128133 135015 142370 162018 207023 213555 256266 270030 405045 414046 427110 621069 640665 810090 1035115 1242138 1281330 1863207 2070230 3105345 3726414 5571619 6210690 9316035 11143238 16714857 18632070 27858095 33429714 50144571 55716190 83574285 100289142 128147237 167148570 250722855 256294474 384441711 501445710 640736185 768883422 1153325133 1281472370 1922208555 2306650266 3844417110 5766625665 11533251330