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1011000108 = 2231938911399
BaseRepresentation
bin111100010000101…
…010001100101100
32121110101010102110
4330100222030230
54032304000413
6244153124020
734024234116
oct7420521454
92543333373
101011000108
11479757388
122426b9610
131315bc021
14983b23b6
155db558c3
hex3c42a32c

1011000108 has 48 divisors (see below), whose sum is σ = 2489760000. Its totient is φ = 318414528.

The previous prime is 1011000101. The next prime is 1011000187. The reversal of 1011000108 is 8010001101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011000093 and 1011000102.

It is not an unprimeable number, because it can be changed into a prime (1011000101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82993 + ... + 94391.

It is an arithmetic number, because the mean of its divisors is an integer number (51870000).

Almost surely, 21011000108 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 1011000108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244880000).

1011000108 is an abundant number, since it is smaller than the sum of its proper divisors (1478759892).

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

1011000108 is a wasteful number, since it uses less digits than its factorization.

1011000108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11814 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1011000108 is about 31796.2278894840. The cubic root of 1011000108 is about 1003.6533395234.

Adding to 1011000108 its reverse (8010001101), we get a palindrome (9021001209).

The spelling of 1011000108 in words is "one billion, eleven million, one hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 389 778 1167 1556 2334 4668 7391 11399 14782 22173 22798 29564 34197 44346 45596 68394 88692 136788 216581 433162 649743 866324 1299486 2598972 4434211 8868422 13302633 17736844 26605266 53210532 84250009 168500018 252750027 337000036 505500054 1011000108