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10103220 = 2232537241
BaseRepresentation
bin100110100010…
…100110110100
3201000022000100
4212202212310
510041300340
61000314100
7151606311
oct46424664
921008010
1010103220
115780776
123472930
13212984a
1414add08
15d48830
hex9a29b4

10103220 has 108 divisors (see below), whose sum is σ = 32265324. Its totient is φ = 2557440.

The previous prime is 10103147. The next prime is 10103221. The reversal of 10103220 is 2230101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 104976 + 9998244 = 324^2 + 3162^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246400 + ... + 246440.

It is an arithmetic number, because the mean of its divisors is an integer number (298753).

Almost surely, 210103220 is an apocalyptic number.

10103220 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 10103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132662).

10103220 is an abundant number, since it is smaller than the sum of its proper divisors (22162104).

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

10103220 is a wasteful number, since it uses less digits than its factorization.

10103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

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

The square root of 10103220 is about 3178.5562760474. The cubic root of 10103220 is about 216.1822022310.

Adding to 10103220 its reverse (2230101), we get a palindrome (12333321).

The spelling of 10103220 in words is "ten million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 41 45 60 74 82 90 111 123 148 164 180 185 205 222 246 333 369 370 410 444 492 555 615 666 738 740 820 1110 1230 1332 1369 1476 1517 1665 1845 2220 2460 2738 3034 3330 3690 4107 4551 5476 6068 6660 6845 7380 7585 8214 9102 12321 13653 13690 15170 16428 18204 20535 22755 24642 27306 27380 30340 41070 45510 49284 54612 56129 61605 68265 82140 91020 112258 123210 136530 168387 224516 246420 273060 280645 336774 505161 561290 673548 841935 1010322 1122580 1683870 2020644 2525805 3367740 5051610 10103220