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1021122108 = 223283563607
BaseRepresentation
bin111100110111010…
…001011000111100
32122011102101012100
4330313101120330
54042401401413
6245154105100
734206252246
oct7467213074
92564371170
101021122108
11484440176
12245b7b190
13133724286
1499889096
155e9a4a73
hex3cdd163c

1021122108 has 72 divisors (see below), whose sum is σ = 2621219328. Its totient is φ = 335122848.

The previous prime is 1021122107. The next prime is 1021122173. The reversal of 1021122108 is 8012211201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021122101) 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 23 ways as a sum of consecutive naturals, for example, 1681941 + ... + 1682547.

It is an arithmetic number, because the mean of its divisors is an integer number (36405824).

Almost surely, 21021122108 is an apocalyptic number.

1021122108 is a gapful number since it is divisible by the number (18) 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 1021122108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310609664).

1021122108 is an abundant number, since it is smaller than the sum of its proper divisors (1600097220).

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

1021122108 is a wasteful number, since it uses less digits than its factorization.

1021122108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1021122108 is about 31955.0012987013. The cubic root of 1021122108 is about 1006.9917048033.

Adding to 1021122108 its reverse (8012211201), we get a palindrome (9033333309).

The spelling of 1021122108 in words is "one billion, twenty-one million, one hundred twenty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 563 607 747 996 1126 1214 1494 1689 1821 2252 2428 2988 3378 3642 5067 5463 6756 7284 10134 10926 20268 21852 46729 50381 93458 100762 140187 151143 186916 201524 280374 302286 341741 420561 453429 560748 604572 683482 841122 906858 1025223 1366964 1682244 1813716 2050446 3075669 4100892 6151338 12302676 28364503 56729006 85093509 113458012 170187018 255280527 340374036 510561054 1021122108