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1030101220 = 2254111311117
BaseRepresentation
bin111101011001100…
…001100011100100
32122210022120020001
4331121201203210
54102201214340
6250114351044
734345500361
oct7531414344
92583276201
101030101220
11489513325
12248b8b484
13135549265
149ab45468
156067a29a
hex3d6618e4

1030101220 has 48 divisors (see below), whose sum is σ = 2235785328. Its totient is φ = 398397440.

The previous prime is 1030101211. The next prime is 1030101221. The reversal of 1030101220 is 221010301.

1030101220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 635443264 + 394657956 = 25208^2 + 19866^2 .

It is a super-2 number, since 2×10301012202 = 2122217046890976800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1030101197 and 1030101206.

It is not an unprimeable number, because it can be changed into a prime (1030101221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87102 + ... + 98218.

It is an arithmetic number, because the mean of its divisors is an integer number (46578861).

Almost surely, 21030101220 is an apocalyptic number.

1030101220 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 1030101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117892664).

1030101220 is an abundant number, since it is smaller than the sum of its proper divisors (1205684108).

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

1030101220 is a wasteful number, since it uses less digits than its factorization.

1030101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11280 (or 11278 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1030101220 is about 32095.1899823011. The cubic root of 1030101220 is about 1009.9347145985.

Adding to 1030101220 its reverse (221010301), we get a palindrome (1251111521).

The spelling of 1030101220 in words is "one billion, thirty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 113 164 205 226 410 452 565 820 1130 2260 4633 9266 11117 18532 22234 23165 44468 46330 55585 92660 111170 222340 455797 911594 1256221 1823188 2278985 2512442 4557970 5024884 6281105 9115940 12562210 25124420 51505061 103010122 206020244 257525305 515050610 1030101220