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11122010100 = 2233524119263
BaseRepresentation
bin10100101101110110…
…00110011111110100
31001201010000122122000
422112323012133310
5140234213310400
65035343135300
7542420345265
oct122673063764
931633018560
1011122010100
1147980a2893
1221a48a4530
1310832a6486
1477719096c
15451640600
hex296ec67f4

11122010100 has 72 divisors (see below), whose sum is σ = 35755211520. Its totient is φ = 2965868640.

The previous prime is 11122010077. The next prime is 11122010101. The reversal of 11122010100 is 101022111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122010101) 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, 2056932 + ... + 2062331.

It is an arithmetic number, because the mean of its divisors is an integer number (496600160).

Almost surely, 211122010100 is an apocalyptic number.

11122010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122010100 is an abundant number, since it is smaller than the sum of its proper divisors (24633201420).

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

11122010100 is a wasteful number, since it uses less digits than its factorization.

11122010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119286 (or 4119273 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11122010100 its reverse (101022111), we get a palindrome (11223032211).

The spelling of 11122010100 in words is "eleven billion, one hundred twenty-two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4119263 8238526 12357789 16477052 20596315 24715578 37073367 41192630 49431156 61788945 74146734 82385260 102981575 111220101 123577890 148293468 185366835 205963150 222440202 247155780 308944725 370733670 411926300 444880404 556100505 617889450 741467340 926834175 1112201010 1235778900 1853668350 2224402020 2780502525 3707336700 5561005050 11122010100