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11120224340100 = 22352892811482163
BaseRepresentation
bin1010000111010010000100…
…0001011000100010000100
31110101002020112221221120110
42201310201001120202010
52424143204412340400
635352321024233020
72225260345206441
oct241644101304204
943332215857513
1011120224340100
1135a8073811077
1212b721076b770
1362882bc38435
142a63165d89c8
151443e11c5e50
hexa1d21058884

11120224340100 has 144 divisors (see below), whose sum is σ = 32651835773760. Its totient is φ = 2921637734400.

The previous prime is 11120224340089. The next prime is 11120224340153. The reversal of 11120224340100 is 104342202111.

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, 6761619 + ... + 8243781.

It is an arithmetic number, because the mean of its divisors is an integer number (226748859540).

Almost surely, 211120224340100 is an apocalyptic number.

11120224340100 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 11120224340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16325917886880).

11120224340100 is an abundant number, since it is smaller than the sum of its proper divisors (21531611433660).

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

11120224340100 is a wasteful number, since it uses less digits than its factorization.

11120224340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482550 (or 1482543 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11120224340100 its reverse (104342202111), we get a palindrome (11224566542211).

The spelling of 11120224340100 in words is "eleven trillion, one hundred twenty billion, two hundred twenty-four million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 281 300 356 445 534 562 843 890 1068 1124 1335 1405 1686 1780 2225 2670 2810 3372 4215 4450 5340 5620 6675 7025 8430 8900 13350 14050 16860 21075 25009 26700 28100 42150 50018 75027 84300 100036 125045 150054 250090 300108 375135 500180 625225 750270 1250450 1482163 1500540 1875675 2500900 2964326 3751350 4446489 5928652 7410815 7502700 8892978 14821630 17785956 22232445 29643260 37054075 44464890 74108150 88929780 111162225 131912507 148216300 222324450 263825014 395737521 416487803 444648900 527650028 659562535 791475042 832975606 1249463409 1319125070 1582950084 1665951212 1978687605 2082439015 2498926818 2638250140 3297812675 3957375210 4164878030 4997853636 6247317045 6595625350 7914750420 8329756060 9893438025 10412195075 12494634090 13191250700 19786876050 20824390150 24989268180 31236585225 37067414467 39573752100 41648780300 62473170450 74134828934 111202243401 124946340900 148269657868 185337072335 222404486802 370674144670 444808973604 556011217005 741348289340 926685361675 1112022434010 1853370723350 2224044868020 2780056085025 3706741446700 5560112170050 11120224340100