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20211110100 = 22325253423713
BaseRepresentation
bin10010110100101011…
…010001000011010100
31221011112202202212100
4102310223101003110
5312343021010400
613141310122100
71313564413146
oct226453210324
957145682770
1020211110100
118631710185
123b007b0330
131ba1351b5c
14d9a35ac96
157d456c100
hex4b4ad10d4

20211110100 has 108 divisors (see below), whose sum is σ = 64546048476. Its totient is φ = 5287925760.

The previous prime is 20211110071. The next prime is 20211110107. The reversal of 20211110100 is 101111202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1883907216 + 18327202884 = 43404^2 + 135378^2 .

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 (20211110107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164157 + ... + 259556.

It is an arithmetic number, because the mean of its divisors is an integer number (597648597).

Almost surely, 220211110100 is an apocalyptic number.

20211110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211110100 is an abundant number, since it is smaller than the sum of its proper divisors (44334938376).

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

20211110100 is a wasteful number, since it uses less digits than its factorization.

20211110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423786 (or 423776 counting only the distinct ones).

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

Adding to 20211110100 its reverse (101111202), we get a palindrome (20312221302).

The spelling of 20211110100 in words is "twenty billion, two hundred eleven million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 53 60 75 90 100 106 150 159 180 212 225 265 300 318 450 477 530 636 795 900 954 1060 1325 1590 1908 2385 2650 3180 3975 4770 5300 7950 9540 11925 15900 23850 47700 423713 847426 1271139 1694852 2118565 2542278 3813417 4237130 5084556 6355695 7626834 8474260 10592825 12711390 15253668 19067085 21185650 22456789 25422780 31778475 38134170 42371300 44913578 63556950 67370367 76268340 89827156 95335425 112283945 127113900 134740734 190670850 202111101 224567890 269481468 336851835 381341700 404222202 449135780 561419725 673703670 808444404 1010555505 1122839450 1347407340 1684259175 2021111010 2245678900 3368518350 4042222020 5052777525 6737036700 10105555050 20211110100