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11011210020100 = 2252895569222161
BaseRepresentation
bin1010000000111011111101…
…0000110000010100000100
31102222122212011021200222001
42200032333100300110010
52420401424231120400
635230251405115044
72214351022605553
oct240167720602404
942878764250861
1011011210020100
113565911aa3a34
12129a067b58a84
1361b477a03744
142a0d342b5d9a
151416608d1a6a
hexa03bf430504

11011210020100 has 72 divisors (see below), whose sum is σ = 24167248900200. Its totient is φ = 4354193817600.

The previous prime is 11011210020073. The next prime is 11011210020121. The reversal of 11011210020100 is 102001211011.

It can be written as a sum of positive squares in 12 ways, for example, as 6187845301444 + 4823364718656 = 2487538^2 + 2196216^2 .

It is a super-2 number, since 2×110112100201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 49453020 + ... + 49675180.

It is an arithmetic number, because the mean of its divisors is an integer number (335656234725).

Almost surely, 211011210020100 is an apocalyptic number.

11011210020100 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 11011210020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12083624450100).

11011210020100 is an abundant number, since it is smaller than the sum of its proper divisors (13156038880100).

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

11011210020100 is a wasteful number, since it uses less digits than its factorization.

11011210020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227833 (or 227826 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11011210020100 its reverse (102001211011), we get a palindrome (11113211231111).

The spelling of 11011210020100 in words is "eleven trillion, eleven billion, two hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 5569 8900 11138 22276 27845 55690 111380 139225 222161 278450 444322 495641 556900 888644 991282 1110805 1982564 2221610 2478205 4443220 4956410 5554025 9912820 11108050 12391025 19772329 22216100 24782050 39544658 49564100 79089316 98861645 197723290 395446580 494308225 988616450 1237214609 1977232900 2474429218 4948858436 6186073045 12372146090 24744292180 30930365225 61860730450 110112100201 123721460900 220224200402 440448400804 550560501005 1101121002010 2202242004020 2752802505025 5505605010050 11011210020100