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20121122100 = 22352103651169
BaseRepresentation
bin10010101111010011…
…111111010100110100
31220221021102220112110
4102233103333110310
5312202001401400
613124333251020
71311422500362
oct225723772464
956837386473
1020121122100
118595937932
123a96633a70
131b88805511
14d8c414632
157cb6e3e50
hex4af4ff534

20121122100 has 72 divisors (see below), whose sum is σ = 58782418240. Its totient is φ = 5313530880.

The previous prime is 20121122059. The next prime is 20121122111. The reversal of 20121122100 is 122112102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294685 + ... + 356484.

Almost surely, 220121122100 is an apocalyptic number.

20121122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121122100 is an abundant number, since it is smaller than the sum of its proper divisors (38661296140).

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

20121122100 is a wasteful number, since it uses less digits than its factorization.

20121122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651289 (or 651282 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20121122100 its reverse (122112102), we get a palindrome (20243234202).

The spelling of 20121122100 in words is "twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2575 3090 5150 6180 7725 10300 15450 30900 651169 1302338 1953507 2604676 3255845 3907014 6511690 7814028 9767535 13023380 16279225 19535070 32558450 39070140 48837675 65116900 67070407 97675350 134140814 195350700 201211221 268281628 335352035 402422442 670704070 804844884 1006056105 1341408140 1676760175 2012112210 3353520350 4024224420 5030280525 6707040700 10060561050 20121122100