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411212121100 = 2252111721989953
BaseRepresentation
bin1011111101111100010…
…01110000010000001100
31110022102002011010200021
411332332021300100030
523214130300333400
6512524102511524
741465135233504
oct5767611602014
91408362133607
10411212121100
11149437581990
12678421355a4
132ca144a5121
1415c8d2cca04
15aa6add871a
hex5fbe27040c

411212121100 has 72 divisors (see below), whose sum is σ = 1030713123888. Its totient is φ = 140735692800.

The previous prime is 411212121091. The next prime is 411212121101. The reversal of 411212121100 is 1121212114.

It is a super-2 number, since 2×4112121211002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (411212121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10976277 + ... + 11013676.

It is an arithmetic number, because the mean of its divisors is an integer number (14315460054).

Almost surely, 2411212121100 is an apocalyptic number.

It is an amenable number.

411212121100 is an abundant number, since it is smaller than the sum of its proper divisors (619501002788).

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

411212121100 is a wasteful number, since it uses less digits than its factorization.

411212121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21989995 (or 21989988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 411212121100 its reverse (1121212114), we get a palindrome (412333333214).

The spelling of 411212121100 in words is "four hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 21989953 43979906 87959812 109949765 219899530 241889483 373829201 439799060 483778966 549748825 747658402 967557932 1099497650 1209447415 1495316804 1869146005 2198995300 2418894830 3738292010 4112121211 4837789660 6047237075 7476584020 8224242422 9345730025 12094474150 16448484844 18691460050 20560606055 24188948300 37382920100 41121212110 82242424220 102803030275 205606060550 411212121100