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1030020000 = 2535417167
BaseRepresentation
bin111101011001001…
…101101110100000
32122210011102210220
4331121031232200
54102141120000
6250112523040
734345011522
oct7531155640
92583142726
101030020000
114894682a9
12248b50480
1313551b2b9
149ab23a12
15606611a0
hex3d64dba0

1030020000 has 120 divisors (see below), whose sum is σ = 3378868416. Its totient is φ = 274656000.

The previous prime is 1030019989. The next prime is 1030020007. The reversal of 1030020000 is 200301.

It is a tau number, because it is divible by the number of its divisors (120).

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 not an unprimeable number, because it can be changed into a prime (1030020007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51417 + ... + 68583.

Almost surely, 21030020000 is an apocalyptic number.

1030020000 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 1030020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689434208).

1030020000 is an abundant number, since it is smaller than the sum of its proper divisors (2348848416).

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

1030020000 is an equidigital number, since it uses as much as digits as its factorization.

1030020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17200 (or 17177 counting only the distinct ones).

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

The square root of 1030020000 is about 32093.9246587263. The cubic root of 1030020000 is about 1009.9081705878.

Adding to 1030020000 its reverse (200301), we get a palindrome (1030220301).

The spelling of 1030020000 in words is "one billion, thirty million, twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 17167 20000 30000 34334 51501 60000 68668 85835 103002 137336 171670 206004 257505 274672 343340 412008 429175 515010 549344 686680 824016 858350 1030020 1287525 1373360 1648032 1716700 2060040 2145875 2575050 2746720 3433400 4120080 4291750 5150100 6437625 6866800 8240160 8583500 10300200 10729375 12875250 13733600 17167000 20600400 21458750 25750500 32188125 34334000 41200800 42917500 51501000 64376250 68668000 85835000 103002000 128752500 171670000 206004000 257505000 343340000 515010000 1030020000