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100221030 = 23357134079
BaseRepresentation
bin1011111100101…
…00000001100110
320222120202102000
411332110001212
5201124033110
613540030130
72324602410
oct576240146
9228522360
10100221030
11516325a8
1229692346
13179c02b0
14d44b9b0
158bea1c0
hex5f94066

100221030 has 128 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 21140352.

The previous prime is 100221019. The next prime is 100221073. The reversal of 100221030 is 30122001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22531 + ... + 26609.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2100221030 is an apocalyptic number.

100221030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

100221030 is an abundant number, since it is smaller than the sum of its proper divisors (228790170).

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

100221030 is a wasteful number, since it uses less digits than its factorization.

100221030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100221030 is about 10011.0453999570. The cubic root of 100221030 is about 464.5006085064.

Adding to 100221030 its reverse (30122001), we get a palindrome (130343031).

The spelling of 100221030 in words is "one hundred million, two hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4079 4095 4914 8158 8190 12237 12285 20395 24474 24570 28553 36711 40790 53027 57106 61185 73422 85659 106054 110133 122370 142765 159081 171318 183555 220266 256977 265135 285530 318162 367110 371189 428295 477243 513954 530270 550665 742378 770931 795405 856590 954486 1101330 1113567 1284885 1431729 1541862 1590810 1855945 2227134 2386215 2569770 2863458 3340701 3711890 3854655 4772430 5567835 6681402 7158645 7709310 10022103 11135670 14317290 16703505 20044206 33407010 50110515 100221030