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11105292000020 = 2251813067760221
BaseRepresentation
bin1010000110011010011011…
…1111000001101100010100
31110022122200220010110211212
42201212212333001230110
52423422114223000040
635341411204320552
72224221326336321
oct241464677015424
943278626113755
1011105292000020
1135a1800901a49
1212b43439a3158
136272bc41ba4a
142a56db387b48
15143d1a2c8d65
hexa19a6fc1b14

11105292000020 has 24 divisors (see below), whose sum is σ = 23449959136968. Its totient is φ = 4417574716800.

The previous prime is 11105291999969. The next prime is 11105292000029. The reversal of 11105292000020 is 2000029250111.

It can be written as a sum of positive squares in 4 ways, for example, as 454324529296 + 10650967470724 = 674036^2 + 3263582^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11105292000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105292000029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1533876491 + ... + 1533883730.

It is an arithmetic number, because the mean of its divisors is an integer number (977081630707).

Almost surely, 211105292000020 is an apocalyptic number.

11105292000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11105292000020 is an abundant number, since it is smaller than the sum of its proper divisors (12344667136948).

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

11105292000020 is a wasteful number, since it uses less digits than its factorization.

11105292000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067760411 (or 3067760409 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The spelling of 11105292000020 in words is "eleven trillion, one hundred five billion, two hundred ninety-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 3067760221 6135520442 12271040884 15338801105 30677602210 61355204420 555264600001 1110529200002 2221058400004 2776323000005 5552646000010 11105292000020