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11341411020 = 2234531322367
BaseRepresentation
bin10101001000000000…
…00011001011001100
31002021101212101010000
422210000003023030
5141211400123040
65113221444300
7551023255152
oct124400031314
932241771100
1011341411020
11489aa26a65
122246270690
1310b98942c4
147983833d2
15465a2d130
hex2a40032cc

11341411020 has 120 divisors (see below), whose sum is σ = 35693691264. Its totient is φ = 3014578944.

The previous prime is 11341411019. The next prime is 11341411057. The reversal of 11341411020 is 2011414311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11341410984 and 11341411002.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 495877 + ... + 518243.

Almost surely, 211341411020 is an apocalyptic number.

11341411020 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 11341411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17846845632).

11341411020 is an abundant number, since it is smaller than the sum of its proper divisors (24352280244).

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

11341411020 is a wasteful number, since it uses less digits than its factorization.

11341411020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22701 (or 22690 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11341411020 its reverse (2011414311), we get a palindrome (13352825331).

The spelling of 11341411020 in words is "eleven billion, three hundred forty-one million, four hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 313 324 405 540 626 810 939 1252 1565 1620 1878 2817 3130 3756 4695 5634 6260 8451 9390 11268 14085 16902 18780 22367 25353 28170 33804 42255 44734 50706 56340 67101 84510 89468 101412 111835 126765 134202 169020 201303 223670 253530 268404 335505 402606 447340 507060 603909 671010 805212 1006515 1207818 1342020 1811727 2013030 2415636 3019545 3623454 4026060 6039090 7000871 7246908 9058635 12078180 14001742 18117270 21002613 28003484 35004355 36234540 42005226 63007839 70008710 84010452 105013065 126015678 140017420 189023517 210026130 252031356 315039195 378047034 420052260 567070551 630078390 756094068 945117585 1134141102 1260156780 1890235170 2268282204 2835352755 3780470340 5670705510 11341411020