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20122111000 = 235327772643
BaseRepresentation
bin10010101111010111…
…110000110000011000
31220221100022011001101
4102233113300300120
5312202230023000
613124410401144
71311434056435
oct225727606030
956840264041
1020122111000
118596452902
123a96a301b4
131b88a90674
14d8c5d0b8c
157cb83be6a
hex4af5f0c18

20122111000 has 64 divisors (see below), whose sum is σ = 47256374880. Its totient is φ = 8019676800.

The previous prime is 20122110997. The next prime is 20122111127. The reversal of 20122111000 is 11122102.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 240679 + ... + 313321.

Almost surely, 220122111000 is an apocalyptic number.

20122111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23628187440).

20122111000 is an abundant number, since it is smaller than the sum of its proper divisors (27134263880).

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

20122111000 is a wasteful number, since it uses less digits than its factorization.

20122111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72941 (or 72927 counting only the distinct ones).

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

Adding to 20122111000 its reverse (11122102), we get a palindrome (20133233102).

The spelling of 20122111000 in words is "twenty billion, one hundred twenty-two million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 277 500 554 1000 1108 1385 2216 2770 5540 6925 11080 13850 27700 34625 55400 69250 72643 138500 145286 277000 290572 363215 581144 726430 1452860 1816075 2905720 3632150 7264300 9080375 14528600 18160750 20122111 36321500 40244222 72643000 80488444 100610555 160976888 201221110 402442220 503052775 804884440 1006105550 2012211100 2515263875 4024422200 5030527750 10061055500 20122111000