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2211311301100 = 2252113754331973
BaseRepresentation
bin100000001011011100011…
…011001011000111101100
321211101210002100011112021
4200023130123023013230
5242212231143113400
64411510135315524
7315522232633216
oct40133433130754
97741702304467
102211311301100
117828a2642a10
122b869781bba4
131306ab134805
1479056d175b6
153c7c44d371a
hex202dc6cb1ec

2211311301100 has 72 divisors (see below), whose sum is σ = 5376257491248. Its totient is φ = 782380396800.

The previous prime is 2211311301091. The next prime is 2211311301107. The reversal of 2211311301100 is 11031131122.

It is a happy number.

It is a super-2 number, since 2×22113113011002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2211311301107) 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, 27125287 + ... + 27206686.

It is an arithmetic number, because the mean of its divisors is an integer number (74670242934).

Almost surely, 22211311301100 is an apocalyptic number.

2211311301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211311301100 is an abundant number, since it is smaller than the sum of its proper divisors (3164946190148).

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

2211311301100 is a wasteful number, since it uses less digits than its factorization.

2211311301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54332035 (or 54332028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 2211311301100 its reverse (11031131122), we get a palindrome (2222342432222).

The spelling of 2211311301100 in words is "two trillion, two hundred eleven billion, three hundred eleven million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 4070 8140 10175 20350 40700 54331973 108663946 217327892 271659865 543319730 597651703 1086639460 1195303406 1358299325 2010283001 2390606812 2716598650 2988258515 4020566002 5433197300 5976517030 8041132004 10051415005 11953034060 14941292575 20102830010 22113113011 29882585150 40205660020 44226226022 50257075025 59765170300 88452452044 100514150050 110565565055 201028300100 221131130110 442262260220 552827825275 1105655650550 2211311301100