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11361053000 = 235311293893
BaseRepresentation
bin10101001010010101…
…11110100101001000
31002022202211021211202
422211022332211020
5141231412144000
65115202443332
7551352233333
oct124512764510
932282737752
1011361053000
114900022300
122250963548
1310c098078b
1479ac1761a
1546760cdd5
hex2a52be948

11361053000 has 96 divisors (see below), whose sum is σ = 29221690680. Its totient is φ = 4131248000.

The previous prime is 11361052993. The next prime is 11361053047. The reversal of 11361053000 is 35016311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 891261316 + 10469791684 = 29854^2 + 102322^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74054 + ... + 167946.

Almost surely, 211361053000 is an apocalyptic number.

11361053000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11361053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610845340).

11361053000 is an abundant number, since it is smaller than the sum of its proper divisors (17860637680).

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

11361053000 is a wasteful number, since it uses less digits than its factorization.

11361053000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93936 (or 93911 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 11361053000 its reverse (35016311), we get a palindrome (11396069311).

The spelling of 11361053000 in words is "eleven billion, three hundred sixty-one million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 93893 121000 187786 375572 469465 751144 938930 1032823 1877860 2065646 2347325 3755720 4131292 4694650 5164115 8262584 9389300 10328230 11361053 11736625 18778600 20656460 22722106 23473250 25820575 41312920 45444212 46946500 51641150 56805265 90888424 93893000 103282300 113610530 129102875 206564600 227221060 258205750 284026325 454442120 516411500 568052650 1032823000 1136105300 1420131625 2272210600 2840263250 5680526500 11361053000