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11201100020 = 225111911812269
BaseRepresentation
bin10100110111010001…
…10011100011110100
31001220121211211121022
422123220303203310
5140414440200040
65051250240312
7544400531165
oct123350634364
931817754538
1011201100020
114828802260
122207286098
1310967a8546
1478389b76c
154585646b5
hex29ba338f4

11201100020 has 96 divisors (see below), whose sum is σ = 27046051200. Its totient is φ = 3853785600.

The previous prime is 11201100007. The next prime is 11201100047. The reversal of 11201100020 is 2000110211.

It is a junction number, because it is equal to n+sod(n) for n = 11201099980 and 11201100007.

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, 4935446 + ... + 4937714.

It is an arithmetic number, because the mean of its divisors is an integer number (281729700).

Almost surely, 211201100020 is an apocalyptic number.

11201100020 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 11201100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523025600).

11201100020 is an abundant number, since it is smaller than the sum of its proper divisors (15844951180).

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

11201100020 is a wasteful number, since it uses less digits than its factorization.

11201100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11201100020 its reverse (2000110211), we get a palindrome (13201210231).

The spelling of 11201100020 in words is "eleven billion, two hundred one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 1181 2090 2269 2362 4180 4538 4724 5905 9076 11345 11810 12991 22439 22690 23620 24959 25982 43111 44878 45380 49918 51964 64955 86222 89756 99836 112195 124795 129910 172444 215555 224390 246829 249590 259820 431110 448780 474221 493658 499180 862220 948442 987316 1234145 1896884 2371105 2468290 2679689 4742210 4936580 5359378 9484420 10718756 13398445 26796890 29476579 50914091 53593780 58953158 101828182 117906316 147382895 203656364 254570455 294765790 509140910 560055001 589531580 1018281820 1120110002 2240220004 2800275005 5600550010 11201100020