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11241332410 = 25711109151887
BaseRepresentation
bin10100111100000100…
…10001111010111010
31002000102112212001211
422132002101322322
5141010240114120
65055244433334
7545366514610
oct123602217272
932012485054
1011241332410
114849491470
12221884884a
1310a1c23aa9
14788d716b0
1545bd6025a
hex29e091eba

11241332410 has 128 divisors (see below), whose sum is σ = 25656238080. Its totient is φ = 3444768000.

The previous prime is 11241332407. The next prime is 11241332441. The reversal of 11241332410 is 1423314211.

11241332410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12672987 + ... + 12673873.

It is an arithmetic number, because the mean of its divisors is an integer number (200439360).

Almost surely, 211241332410 is an apocalyptic number.

11241332410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11241332410 is an abundant number, since it is smaller than the sum of its proper divisors (14414905670).

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

11241332410 is a wasteful number, since it uses less digits than its factorization.

11241332410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11241332410 its reverse (1423314211), we get a palindrome (12664646621).

The spelling of 11241332410 in words is "eleven billion, two hundred forty-one million, three hundred thirty-two thousand, four hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 109 110 151 154 218 302 385 545 755 763 770 887 1057 1090 1199 1510 1526 1661 1774 2114 2398 3322 3815 4435 5285 5995 6209 7630 8305 8393 8870 9757 10570 11627 11990 12418 16459 16610 16786 19514 23254 31045 32918 41965 48785 58135 62090 68299 82295 83930 96683 97570 115213 116270 133937 136598 164590 181049 193366 230426 267874 341495 362098 483415 576065 669685 676781 682990 905245 937559 966830 1063513 1152130 1267343 1339370 1353562 1473307 1810490 1875118 2127026 2534686 2946614 3383905 4687795 5317565 6336715 6767810 7366535 7444591 9375590 10313149 10635130 12673430 14599133 14733070 14889182 20626298 29198266 37222955 51565745 72995665 74445910 102193931 103131490 145991330 160590463 204387862 321180926 510969655 802952315 1021939310 1124133241 1605904630 2248266482 5620666205 11241332410