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111022000110100 = 22521110220001101
BaseRepresentation
bin11001001111100101010010…
…111000001111101000010100
3112120002121012002001121002201
4121033211102320033220110
5104022441024012010400
61032042445221014244
732246034442233352
oct3117452270175024
9476077162047081
10111022000110100
11324141907a7462
1210550983254384
1349c443942a111
141d5b6ca1567d2
15cc7e0c5ca06a
hex64f952e0fa14

111022000110100 has 18 divisors (see below), whose sum is σ = 240917740239134. Its totient is φ = 44408800044000.

The previous prime is 111022000110097. The next prime is 111022000110103. The reversal of 111022000110100 is 1011000220111.

It is an interprime number because it is at equal distance from previous prime (111022000110097) and next prime (111022000110103).

It can be written as a sum of positive squares in 3 ways, for example, as 39238472739844 + 71783527370256 = 6264062^2 + 8472516^2 .

It is a super-3 number, since 3×1110220001101003 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111022000110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555110000451 + ... + 555110000650.

Almost surely, 2111022000110100 is an apocalyptic number.

111022000110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111022000110100 is an abundant number, since it is smaller than the sum of its proper divisors (129895740129034).

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

111022000110100 is a wasteful number, since it uses less digits than its factorization.

111022000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110220001115 (or 1110220001108 counting only the distinct ones).

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

Adding to 111022000110100 its reverse (1011000220111), we get a palindrome (112033000330211).

The spelling of 111022000110100 in words is "one hundred eleven trillion, twenty-two billion, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1110220001101 2220440002202 4440880004404 5551100005505 11102200011010 22204400022020 27755500027525 55511000055050 111022000110100