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101130000 = 243543371
BaseRepresentation
bin1100000011100…
…01111100010000
321001021221021120
412001301330100
5201342130000
614011322240
72335406436
oct601617420
9231257246
10101130000
11520a3514
1229a50380
1317c4ac4a
14d606d56
158d296a0
hex6071f10

101130000 has 100 divisors (see below), whose sum is σ = 326557968. Its totient is φ = 26960000.

The previous prime is 101129999. The next prime is 101130017. The reversal of 101130000 is 31101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 28315 + ... + 31685.

Almost surely, 2101130000 is an apocalyptic number.

101130000 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 101130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163278984).

101130000 is an abundant number, since it is smaller than the sum of its proper divisors (225427968).

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

101130000 is an equidigital number, since it uses as much as digits as its factorization.

101130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 101130000 is about 10056.3412829915. The cubic root of 101130000 is about 465.9006708049.

Adding to 101130000 its reverse (31101), we get a palindrome (101161101).

The spelling of 101130000 in words is "one hundred one million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3371 3750 5000 6000 6742 7500 10000 10113 13484 15000 16855 20226 26968 30000 33710 40452 50565 53936 67420 80904 84275 101130 134840 161808 168550 202260 252825 269680 337100 404520 421375 505650 674200 809040 842750 1011300 1264125 1348400 1685500 2022600 2106875 2528250 3371000 4045200 4213750 5056500 6320625 6742000 8427500 10113000 12641250 16855000 20226000 25282500 33710000 50565000 101130000