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20102122112 = 273110150159
BaseRepresentation
bin10010101110001011…
…100000101010000000
31220212221200121110012
4102232023200222000
5312132120401422
613122414124052
71311102135002
oct225613405200
956787617405
1020102122112
11858613a966
123a901b0628
131b848b2317
14d89aaa372
157c9bde4e2
hex4ae2e0a80

20102122112 has 64 divisors (see below), whose sum is σ = 41749171200. Its totient is φ = 9630336000.

The previous prime is 20102122099. The next prime is 20102122121. The reversal of 20102122112 is 21122120102.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375689 + ... + 425847.

It is an arithmetic number, because the mean of its divisors is an integer number (652330800).

Almost surely, 220102122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20874585600).

20102122112 is an abundant number, since it is smaller than the sum of its proper divisors (21647049088).

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

20102122112 is a wasteful number, since it uses less digits than its factorization.

20102122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50305 (or 50293 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20102122112 its reverse (21122120102), we get a palindrome (41224242214).

The spelling of 20102122112 in words is "twenty billion, one hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 101 124 128 202 248 404 496 808 992 1616 1984 3131 3232 3968 6262 6464 12524 12928 25048 50096 50159 100192 100318 200384 200636 400768 401272 802544 1554929 1605088 3109858 3210176 5066059 6219716 6420352 10132118 12439432 20264236 24878864 40528472 49757728 81056944 99515456 157047829 162113888 199030912 314095658 324227776 628191316 648455552 1256382632 2512765264 5025530528 10051061056 20102122112