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1001010220 = 225721099371
BaseRepresentation
bin111011101010100…
…011010000101100
32120202120120212121
4323222203100230
54022224311340
6243155042324
733543306100
oct7352432054
92522516777
101001010220
11474053881
1223b2a03a4
1312c501c52
1496d31900
155cd3094a
hex3baa342c

1001010220 has 72 divisors (see below), whose sum is σ = 2468022480. Its totient is φ = 340018560.

The previous prime is 1001010187. The next prime is 1001010223. The reversal of 1001010220 is 220101001.

1001010220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1001010223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102135 + ... + 111505.

It is an arithmetic number, because the mean of its divisors is an integer number (34278090).

Almost surely, 21001010220 is an apocalyptic number.

1001010220 is a gapful number since it is divisible by the number (10) 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 1001010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234011240).

1001010220 is an abundant number, since it is smaller than the sum of its proper divisors (1467012260).

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

1001010220 is a wasteful number, since it uses less digits than its factorization.

1001010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1001010220 is about 31638.7455503533. The cubic root of 1001010220 is about 1000.3366266698.

Adding to 1001010220 its reverse (220101001), we get a palindrome (1221111221).

The spelling of 1001010220 in words is "one billion, one million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 109 140 196 218 245 436 490 545 763 980 1090 1526 2180 3052 3815 5341 7630 9371 10682 15260 18742 21364 26705 37484 46855 53410 65597 93710 106820 131194 187420 262388 327985 459179 655970 918358 1021439 1311940 1836716 2042878 2295895 4085756 4591790 5107195 7150073 9183580 10214390 14300146 20428780 28600292 35750365 50050511 71500730 100101022 143001460 200202044 250252555 500505110 1001010220