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103002000 = 2435317167
BaseRepresentation
bin1100010001110…
…10111110010000
321011211001011220
412020322332100
5202332031000
614115405040
72360334243
oct610727620
9234731156
10103002000
1153161a22
122a5b3780
131845503a
14d97325a
1590991a0
hex623af90

103002000 has 80 divisors (see below), whose sum is σ = 332097792. Its totient is φ = 27465600.

The previous prime is 103001999. The next prime is 103002019. The reversal of 103002000 is 200301.

It is a tau number, because it is divible by the number of its divisors (80).

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 a self number, because there is not a number n which added to its sum of digits gives 103002000.

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 15 ways as a sum of consecutive naturals, for example, 2584 + ... + 14583.

Almost surely, 2103002000 is an apocalyptic number.

103002000 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 103002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166048896).

103002000 is an abundant number, since it is smaller than the sum of its proper divisors (229095792).

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

103002000 is a wasteful number, since it uses less digits than its factorization.

103002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17193 (or 17177 counting only the distinct ones).

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

The square root of 103002000 is about 10148.9900975417. The cubic root of 103002000 is about 468.7578487575.

Adding to 103002000 its reverse (200301), we get a palindrome (103202301).

The spelling of 103002000 in words is "one hundred three million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 17167 34334 51501 68668 85835 103002 137336 171670 206004 257505 274672 343340 412008 429175 515010 686680 824016 858350 1030020 1287525 1373360 1716700 2060040 2145875 2575050 3433400 4120080 4291750 5150100 6437625 6866800 8583500 10300200 12875250 17167000 20600400 25750500 34334000 51501000 103002000