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11130421410 = 2345107167769
BaseRepresentation
bin10100101110110110…
…01100000010100010
31001201200211222210000
422113123030002202
5140243341441120
65040243320430
7542552010123
oct122733140242
931650758700
1011130421410
1147a1918389
1221a7680116
131084c5cb94
1477834004a
15452252990
hex2976cc0a2

11130421410 has 160 divisors (see below), whose sum is σ = 30428576640. Its totient is φ = 2918965248.

The previous prime is 11130421399. The next prime is 11130421427. The reversal of 11130421410 is 1412403111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14473506 + ... + 14474274.

It is an arithmetic number, because the mean of its divisors is an integer number (190178604).

Almost surely, 211130421410 is an apocalyptic number.

11130421410 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 11130421410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214288320).

11130421410 is an abundant number, since it is smaller than the sum of its proper divisors (19298155230).

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

11130421410 is a wasteful number, since it uses less digits than its factorization.

11130421410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1053 counting only the distinct ones).

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

Adding to 11130421410 its reverse (1412403111), we get a palindrome (12542824521).

The spelling of 11130421410 in words is "eleven billion, one hundred thirty million, four hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 107 135 162 167 214 270 321 334 405 501 535 642 769 810 835 963 1002 1070 1503 1538 1605 1670 1926 2307 2505 2889 3006 3210 3845 4509 4614 4815 5010 5778 6921 7515 7690 8667 9018 9630 11535 13527 13842 14445 15030 17334 17869 20763 22545 23070 27054 28890 34605 35738 41526 43335 45090 53607 62289 67635 69210 82283 86670 89345 103815 107214 124578 128423 135270 160821 164566 178690 207630 246849 256846 268035 311445 321642 385269 411415 482463 493698 536070 622890 642115 740547 770538 804105 822830 964926 1155807 1234245 1284230 1447389 1481094 1608210 1926345 2221641 2311614 2412315 2468490 2894778 3467421 3702735 3852690 4443282 4824630 5779035 6664923 6934842 7236945 7405470 10402263 11108205 11558070 13329846 13741261 14473890 17337105 20804526 22216410 27482522 33324615 34674210 41223783 52011315 66649230 68706305 82447566 104022630 123671349 137412610 206118915 247342698 371014047 412237830 618356745 742028094 1113042141 1236713490 1855070235 2226084282 3710140470 5565210705 11130421410