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11020201100 = 2252713534397
BaseRepresentation
bin10100100001101101…
…01110110010001100
31001110000110012221022
422100312232302030
5140032132413400
65021305053312
7540043110116
oct122066566214
931400405838
1011020201100
114745686217
122176787238
13106817b46c
1476784c3b6
1544772eb85
hex290daec8c

11020201100 has 72 divisors (see below), whose sum is σ = 24324880608. Its totient is φ = 4332697600.

The previous prime is 11020201043. The next prime is 11020201103. The reversal of 11020201100 is 110202011.

It is not an unprimeable number, because it can be changed into a prime (11020201103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2504102 + ... + 2508498.

It is an arithmetic number, because the mean of its divisors is an integer number (337845564).

Almost surely, 211020201100 is an apocalyptic number.

11020201100 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 11020201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162440304).

11020201100 is an abundant number, since it is smaller than the sum of its proper divisors (13304679508).

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

11020201100 is a wasteful number, since it uses less digits than its factorization.

11020201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4828 counting only the distinct ones).

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

Adding to 11020201100 its reverse (110202011), we get a palindrome (11130403111).

11020201100 divided by its reverse (110202011) gives a square (100 = 102).

The spelling of 11020201100 in words is "eleven billion, twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 353 355 706 710 1412 1420 1765 1775 3530 3550 4397 7060 7100 8794 8825 17588 17650 21985 25063 35300 43970 50126 87940 100252 109925 125315 219850 250630 312187 439700 501260 624374 626575 1248748 1253150 1552141 1560935 2506300 3104282 3121870 6208564 6243740 7760705 7804675 15521410 15609350 31042820 31218700 38803525 77607050 110202011 155214100 220404022 440808044 551010055 1102020110 2204040220 2755050275 5510100550 11020201100