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101445300 = 2232521110247
BaseRepresentation
bin1100000101111…
…10111010110100
321001212221210100
412002332322310
5201432222200
614022154100
72341161615
oct602767264
9231787710
10101445300
11522993a0
1229b82930
131802b608
14d689c0c
158d8cd00
hex60beeb4

101445300 has 108 divisors (see below), whose sum is σ = 346915296. Its totient is φ = 24590400.

The previous prime is 101445287. The next prime is 101445329. The reversal of 101445300 is 3544101.

It is a happy number.

It is a super-2 number, since 2×1014453002 = 20582297784180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4777 + ... + 15023.

Almost surely, 2101445300 is an apocalyptic number.

101445300 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 101445300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173457648).

101445300 is an abundant number, since it is smaller than the sum of its proper divisors (245469996).

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

101445300 is a wasteful number, since it uses less digits than its factorization.

101445300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10278 (or 10268 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101445300 is about 10072.0057585369. The cubic root of 101445300 is about 466.3843587320.

Adding to 101445300 its reverse (3544101), we get a palindrome (104989401).

The spelling of 101445300 in words is "one hundred one million, four hundred forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 10247 20494 30741 40988 51235 61482 92223 102470 112717 122964 153705 184446 204940 225434 256175 307410 338151 368892 450868 461115 512350 563585 614820 676302 768525 922230 1014453 1024700 1127170 1352604 1537050 1690755 1844460 2028906 2254340 2305575 2817925 3074100 3381510 4057812 4611150 5072265 5635850 6763020 8453775 9222300 10144530 11271700 16907550 20289060 25361325 33815100 50722650 101445300