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11120212010100 = 22352234787336667
BaseRepresentation
bin1010000111010010000001…
…0010010110010001110100
31110101002012200202111222210
42201310200102112101310
52424143143233310400
635352315504053420
72225260135334064
oct241644022262164
943332180674883
1011120212010100
1135a806785a396
1212b7208604270
1362882950c18b
142a6314b093a4
151443e008c950
hexa1d20496474

11120212010100 has 144 divisors (see below), whose sum is σ = 33580483711488. Its totient is φ = 2835858917760.

The previous prime is 11120212010081. The next prime is 11120212010107. The reversal of 11120212010100 is 101021202111.

It is a super-3 number, since 3×111202120101003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120212010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32861967 + ... + 33198633.

It is an arithmetic number, because the mean of its divisors is an integer number (233197803552).

Almost surely, 211120212010100 is an apocalyptic number.

11120212010100 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 11120212010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790241855744).

11120212010100 is an abundant number, since it is smaller than the sum of its proper divisors (22460271701388).

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

11120212010100 is a wasteful number, since it uses less digits than its factorization.

11120212010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341494 (or 341487 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11120212010100 its reverse (101021202111), we get a palindrome (11221233212211).

The spelling of 11120212010100 in words is "eleven trillion, one hundred twenty billion, two hundred twelve million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 4787 6900 9574 14361 19148 23935 28722 47870 57444 71805 95740 110101 119675 143610 220202 239350 287220 330303 336667 359025 440404 478700 550505 660606 673334 718050 1010001 1101010 1321212 1346668 1436100 1651515 1683335 2020002 2202020 2752525 3303030 3366670 4040004 5050005 5505050 6606060 6733340 7743341 8257575 8416675 10100010 11010100 15486682 16515150 16833350 20200020 23230023 25250025 30973364 33030300 33666700 38716705 46460046 50500050 77433410 92920092 101000100 116150115 154866820 193583525 232300230 387167050 464600460 580750575 774334100 1161501150 1611624929 2323002300 3223249858 4834874787 6446499716 8058124645 9669749574 16116249290 19339499148 24174373935 32232498580 37067373367 40290623225 48348747870 74134746734 80581246450 96697495740 111202120101 120871869675 148269493468 161162492900 185336866835 222404240202 241743739350 370673733670 444808480404 483487478700 556010600505 741347467340 926684334175 1112021201010 1853368668350 2224042402020 2780053002525 3706737336700 5560106005050 11120212010100