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11100013113020 = 225131131258930011
BaseRepresentation
bin1010000110000110110001…
…0101101010111010111100
31110022011001222222020020112
42201201230111222322330
52423330311324104040
635335135311405152
72223643446465236
oct241415425527274
943264058866215
1011100013113020
11359a542031017
1212b330bb237b8
1362695a875280
142a535a24b256
15143b0bb34365
hexa186c56aebc

11100013113020 has 96 divisors (see below), whose sum is σ = 25328113594560. Its totient is φ = 4061738741760.

The previous prime is 11100013112983. The next prime is 11100013113121. The reversal of 11100013113020 is 2031131000111.

It is a happy number.

11100013113020 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 2×111000131130202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11100013112986 and 11100013113004.

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, 369849815 + ... + 369879825.

It is an arithmetic number, because the mean of its divisors is an integer number (263834516610).

Almost surely, 211100013113020 is an apocalyptic number.

11100013113020 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 11100013113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12664056797280).

11100013113020 is an abundant number, since it is smaller than the sum of its proper divisors (14228100481540).

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

11100013113020 is a wasteful number, since it uses less digits than its factorization.

11100013113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42735 (or 42733 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11100013113020 its reverse (2031131000111), we get a palindrome (13131144113131).

The spelling of 11100013113020 in words is "eleven trillion, one hundred billion, thirteen million, one hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5876 7345 12589 14690 25178 29380 30011 50356 60022 62945 120044 125890 150055 163657 251780 300110 327314 390143 600220 654628 780286 818285 1422557 1560572 1636570 1950715 2845114 3273140 3391243 3901430 5690228 6782486 7112785 7802860 13564972 14225570 16956215 18493241 28451140 33912430 36986482 44086159 67824860 73972964 88172318 92466205 176344636 184932410 220430795 369864820 377808479 440861590 755616958 881723180 1511233916 1889042395 3778084790 4911510227 7556169580 9823020454 19646040908 24557551135 42692358127 49115102270 85384716254 98230204540 170769432508 213461790635 426923581270 555000655651 853847162540 1110001311302 2220002622604 2775003278255 5550006556510 11100013113020