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11213400220440 = 23351135129241823
BaseRepresentation
bin1010001100101101001010…
…1111001010001100011000
31110200222202010211002111120
42203023102233022030120
52432210020424023230
635503210454525240
72235066340135365
oct243132257121430
943628663732446
1011213400220440
113633638101060
121311295066820
1363455aa02942
142aaa3520346c
15146a46289310
hexa32d2bca318

11213400220440 has 128 divisors (see below), whose sum is σ = 36699597158400. Its totient is φ = 2718311429120.

The previous prime is 11213400220433. The next prime is 11213400220469. The reversal of 11213400220440 is 4402200431211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11213400220440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46249369 + ... + 46491191.

It is an arithmetic number, because the mean of its divisors is an integer number (286715602800).

Almost surely, 211213400220440 is an apocalyptic number.

11213400220440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11213400220440 is an abundant number, since it is smaller than the sum of its proper divisors (25486196937960).

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

11213400220440 is a wasteful number, since it uses less digits than its factorization.

11213400220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276977 (or 276973 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11213400220440 its reverse (4402200431211), we get a palindrome (15615600651651).

The spelling of 11213400220440 in words is "eleven trillion, two hundred thirteen billion, four hundred million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 35129 70258 105387 140516 175645 210774 241823 281032 351290 386419 421548 483646 526935 702580 725469 772838 843096 967292 1053870 1159257 1209115 1405160 1450938 1545676 1932095 1934584 2107740 2318514 2418230 2660053 2901876 3091352 3627345 3864190 4215480 4637028 4836460 5320106 5796285 5803752 7254690 7728380 7980159 9274056 9672920 10640212 11592570 13300265 14509380 15456760 15960318 21280424 23185140 26600530 29018760 31920636 39900795 46370280 53201060 63841272 79801590 106402120 159603180 319206360 8495000167 16990000334 25485000501 33980000668 42475000835 50970001002 67960001336 84950001670 93445001837 101940002004 127425002505 169900003340 186890003674 203880004008 254850005010 280335005511 339800006680 373780007348 467225009185 509700010020 560670011022 747560014696 934450018370 1019400020040 1121340022044 1401675027555 1868900036740 2242680044088 2803350055110 3737800073480 5606700110220 11213400220440