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11083426100 = 2252206953569
BaseRepresentation
bin10100101001001111…
…11010100100110100
31001121102102101022222
422110213322210310
5140144324113400
65031444141512
7541441365425
oct122447724464
931542371288
1011083426100
11477833a08a
122193997898
1310782b72c6
14771dc964c
1544d06d185
hex2949fa934

11083426100 has 36 divisors (see below), whose sum is σ = 24063108300. Its totient is φ = 4431144960.

The previous prime is 11083426087. The next prime is 11083426117. The reversal of 11083426100 is 162438011.

11083426100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3138912676 + 7944513424 = 56026^2 + 89132^2 .

It is a super-2 number, since 2×110834261002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11083426100.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 180116 + ... + 233684.

It is an arithmetic number, because the mean of its divisors is an integer number (668419675).

Almost surely, 211083426100 is an apocalyptic number.

11083426100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11083426100 is an abundant number, since it is smaller than the sum of its proper divisors (12979682200).

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

11083426100 is a wasteful number, since it uses less digits than its factorization.

11083426100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55652 (or 55645 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 11083426100 in words is "eleven billion, eighty-three million, four hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2069 4138 8276 10345 20690 41380 51725 53569 103450 107138 206900 214276 267845 535690 1071380 1339225 2678450 5356900 110834261 221668522 443337044 554171305 1108342610 2216685220 2770856525 5541713050 11083426100