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1002020118 = 2311210712899
BaseRepresentation
bin111011101110011…
…001110100010110
32120211110220012020
4323232121310112
54023004120433
6243232434010
733555013311
oct7356316426
92524426166
101002020118
11474683600
1223b6a8906
1312c796818
1497115978
155ce7ecb3
hex3bb99d16

1002020118 has 48 divisors (see below), whose sum is σ = 2223547200. Its totient is φ = 300781360.

The previous prime is 1002020087. The next prime is 1002020177. The reversal of 1002020118 is 8110202001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002020097 and 1002020106.

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, 71233 + ... + 84131.

It is an arithmetic number, because the mean of its divisors is an integer number (46323900).

Almost surely, 21002020118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002020118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111773600).

1002020118 is an abundant number, since it is smaller than the sum of its proper divisors (1221527082).

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

1002020118 is a wasteful number, since it uses less digits than its factorization.

1002020118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13033 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1002020118 is about 31654.7013569865. The cubic root of 1002020118 is about 1000.6729197441.

Adding to 1002020118 its reverse (8110202001), we get a palindrome (9112222119).

The spelling of 1002020118 in words is "one billion, two million, twenty thousand, one hundred eighteen".

Divisors: 1 2 3 6 11 22 33 66 107 121 214 242 321 363 642 726 1177 2354 3531 7062 12899 12947 25798 25894 38697 38841 77394 77682 141889 283778 425667 851334 1380193 1560779 2760386 3121558 4140579 4682337 8281158 9364674 15182123 30364246 45546369 91092738 167003353 334006706 501010059 1002020118