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11002223144700 = 22335210933728177
BaseRepresentation
bin1010000000011010011110…
…0110100010111011111100
31102221210122211220010112000
42200012213212202323330
52420230023111112300
635222203533142300
72213612226456624
oct240064746427374
942853584803460
1011002223144700
113562020157487
12129837a32a990
1361a674b9a2a8
142a0720919884
151412d6948c00
hexa01a79a2efc

11002223144700 has 144 divisors (see below), whose sum is σ = 35402480033760. Its totient is φ = 2931241098240.

The previous prime is 11002223144687. The next prime is 11002223144719. The reversal of 11002223144700 is 744132220011.

11002223144700 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087012 + ... + 4815188.

It is an arithmetic number, because the mean of its divisors is an integer number (245850555790).

Almost surely, 211002223144700 is an apocalyptic number.

11002223144700 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 11002223144700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701240016880).

11002223144700 is an abundant number, since it is smaller than the sum of its proper divisors (24400256889060).

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

11002223144700 is a wasteful number, since it uses less digits than its factorization.

11002223144700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729293 (or 3729280 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 11002223144700 its reverse (744132220011), we get a palindrome (11746355364711).

The spelling of 11002223144700 in words is "eleven trillion, two billion, two hundred twenty-three million, one hundred forty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1093 1350 2186 2700 3279 4372 5465 6558 9837 10930 13116 16395 19674 21860 27325 29511 32790 39348 49185 54650 59022 65580 81975 98370 109300 118044 147555 163950 196740 245925 295110 327900 491850 590220 737775 983700 1475550 2951100 3728177 7456354 11184531 14912708 18640885 22369062 33553593 37281770 44738124 55922655 67107186 74563540 93204425 100660779 111845310 134214372 167767965 186408850 201321558 223690620 279613275 335535930 372817700 402643116 503303895 559226550 671071860 838839825 1006607790 1118453100 1677679650 2013215580 2516519475 3355359300 4074897461 5033038950 8149794922 10066077900 12224692383 16299589844 20374487305 24449384766 36674077149 40748974610 48898769532 61123461915 73348154298 81497949220 101872436525 110022231447 122246923830 146696308596 183370385745 203744873050 220044462894 244493847660 305617309575 366740771490 407489746100 440088925788 550111157235 611234619150 733481542980 916851928725 1100222314470 1222469238300 1833703857450 2200444628940 2750555786175 3667407714900 5501111572350 11002223144700