Search a number
-
+
10122300 = 22335223163
BaseRepresentation
bin100110100111…
…010000111100
3201001021012000
4212213100330
510042403200
61000542300
7152016036
oct46472074
921037160
1010122300
115794041
123481990
132135436
1414b6c56
15d4e300
hex9a743c

10122300 has 144 divisors (see below), whose sum is σ = 34164480. Its totient is φ = 2566080.

The previous prime is 10122289. The next prime is 10122313. The reversal of 10122300 is 322101.

It is a happy number.

10122300 is digitally balanced in base 2 and base 4, because in such bases 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 (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62019 + ... + 62181.

Almost surely, 210122300 is an apocalyptic number.

10122300 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 10122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082240).

10122300 is an abundant number, since it is smaller than the sum of its proper divisors (24042180).

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

10122300 is a wasteful number, since it uses less digits than its factorization.

10122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

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

The square root of 10122300 is about 3181.5562229827. The cubic root of 10122300 is about 216.3182038423.

Adding to 10122300 its reverse (322101), we get a palindrome (10444401).

The spelling of 10122300 in words is "ten million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 90 92 100 108 115 135 138 150 163 180 207 225 230 270 276 300 326 345 414 450 460 489 540 575 621 652 675 690 815 828 900 978 1035 1150 1242 1350 1380 1467 1630 1725 1956 2070 2300 2445 2484 2700 2934 3105 3260 3450 3749 4075 4140 4401 4890 5175 5868 6210 6900 7335 7498 8150 8802 9780 10350 11247 12225 12420 14670 14996 15525 16300 17604 18745 20700 22005 22494 24450 29340 31050 33741 36675 37490 44010 44988 48900 56235 62100 67482 73350 74980 88020 93725 101223 110025 112470 134964 146700 168705 187450 202446 220050 224940 281175 337410 374900 404892 440100 506115 562350 674820 843525 1012230 1124700 1687050 2024460 2530575 3374100 5061150 10122300