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11210303131120 = 2457912831382527
BaseRepresentation
bin1010001100100001101000…
…1000101100110111110000
31110200200202022002122122201
42203020122020230313300
52432132200100143440
635501535301312544
72234626522252432
oct243103210546760
943620668078581
1011210303131120
113632298958005
12131076ba05754
13634186186702
142aa81db66652
1514691441819a
hexa321a22cdf0

11210303131120 has 80 divisors (see below), whose sum is σ = 26414469365760. Its totient is φ = 4423906236672.

The previous prime is 11210303131091. The next prime is 11210303131121. The reversal of 11210303131120 is 2113130301211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210303131121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7417297 + ... + 8799823.

It is an arithmetic number, because the mean of its divisors is an integer number (330180867072).

Almost surely, 211210303131120 is an apocalyptic number.

11210303131120 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 11210303131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13207234682880).

11210303131120 is an abundant number, since it is smaller than the sum of its proper divisors (15204166234640).

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

11210303131120 is a wasteful number, since it uses less digits than its factorization.

11210303131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383902 (or 1383896 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11210303131120 its reverse (2113130301211), we get a palindrome (13323433432331).

The spelling of 11210303131120 in words is "eleven trillion, two hundred ten billion, three hundred three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1283 1580 2566 3160 5132 6320 6415 10264 12830 20528 25660 51320 101357 102640 202714 405428 506785 810856 1013570 1382527 1621712 2027140 2765054 4054280 5530108 6912635 8108560 11060216 13825270 22120432 27650540 55301080 109219633 110602160 218439266 436878532 546098165 873757064 1092196330 1747514128 1773782141 2184392660 3547564282 4368785320 7095128564 8737570640 8868910705 14190257128 17737821410 28380514256 35475642820 70951285640 140128789139 141902571280 280257578278 560515156556 700643945695 1121030313112 1401287891390 2242060626224 2802575782780 5605151565560 11210303131120