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11120033213310 = 2357211607413443
BaseRepresentation
bin1010000111010001010110…
…1000010010101101111110
31110101001202020022200220110
42201310111220102231332
52424142312000311220
635352250035530450
72225252534516460
oct241642550225576
943331666280813
1011120033213310
1135a7a8593974a
1212b7178759a26
136287cb469b68
142a62d9086130
151443ce520be0
hexa1d15a12b7e

11120033213310 has 128 divisors (see below), whose sum is σ = 30695776026624. Its totient is φ = 2525502188160.

The previous prime is 11120033213299. The next prime is 11120033213339. The reversal of 11120033213310 is 1331233002111.

It is a happy number.

11120033213310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111200332133102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26689449 + ... + 27102891.

It is an arithmetic number, because the mean of its divisors is an integer number (239810750208).

Almost surely, 211120033213310 is an apocalyptic number.

11120033213310 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 11120033213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15347888013312).

11120033213310 is an abundant number, since it is smaller than the sum of its proper divisors (19575742813314).

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

11120033213310 is a wasteful number, since it uses less digits than its factorization.

11120033213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414278.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11120033213310 its reverse (1331233002111), we get a palindrome (12451266215421).

The spelling of 11120033213310 in words is "eleven trillion, one hundred twenty billion, thirty-three million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 211 422 607 633 1055 1214 1266 1477 1821 2110 2954 3035 3165 3642 4249 4431 6070 6330 7385 8498 8862 9105 12747 14770 18210 21245 22155 25494 42490 44310 63735 127470 128077 256154 384231 413443 640385 768462 826886 896539 1240329 1280770 1793078 1921155 2067215 2480658 2689617 2894101 3842310 4134430 4482695 5379234 5788202 6201645 8682303 8965390 12403290 13448085 14470505 17364606 26896170 28941010 43411515 86823030 87236473 174472946 250959901 261709419 436182365 501919802 523418838 610655311 752879703 872364730 1221310622 1254799505 1308547095 1505759406 1756719307 1831965933 2509599010 2617094190 3053276555 3513438614 3663931866 3764398515 5270157921 6106553110 7528797030 8783596535 9159829665 10540315842 17567193070 18319659330 26350789605 52701579210 52952539111 105905078222 158857617333 264762695555 317715234666 370667773777 529525391110 741335547554 794288086665 1112003321331 1588576173330 1853338868885 2224006642662 3706677737770 5560016606655 11120033213310