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20221110100 = 2252238791787
BaseRepresentation
bin10010110101010001…
…011010011101010100
31221012020120211021201
4102311101122131110
5312403101010400
613142304322244
71314045412522
oct226521323524
957166524251
1020221110100
118637320344
123b04013384
131ba3443709
14d9b801312
157d539506a
hex4b545a754

20221110100 has 36 divisors (see below), whose sum is σ = 45787631904. Its totient is φ = 7736771680.

The previous prime is 20221110083. The next prime is 20221110109. The reversal of 20221110100 is 101112202.

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 (20221110109) by changing a digit.

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, 4393594 + ... + 4398193.

It is an arithmetic number, because the mean of its divisors is an integer number (1271878664).

Almost surely, 220221110100 is an apocalyptic number.

20221110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221110100 is an abundant number, since it is smaller than the sum of its proper divisors (25566521804).

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

20221110100 is a wasteful number, since it uses less digits than its factorization.

20221110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791824 (or 8791817 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20221110100 its reverse (101112202), we get a palindrome (20322222302).

It can be divided in two parts, 20221 and 110100, that added together give a 4-th power (130321 = 194).

The spelling of 20221110100 in words is "twenty billion, two hundred twenty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 8791787 17583574 35167148 43958935 87917870 175835740 202211101 219794675 404422202 439589350 808844404 879178700 1011055505 2022111010 4044222020 5055277525 10110555050 20221110100