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2001102000 = 24353333517
BaseRepresentation
bin111011101000110…
…0110010010110000
312011110102111212220
41313101212102300
513044240231000
6530322321040
7100406041422
oct16721462260
95143374786
102001102000
1193762a607
1247a1b9180
1325b771b31
1414daa4812
15baa2e1a0
hex774664b0

2001102000 has 80 divisors (see below), whose sum is σ = 6451572192. Its totient is φ = 533625600.

The previous prime is 2001101989. The next prime is 2001102001. The reversal of 2001102000 is 2011002.

It is a happy number.

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 2001102000.

It is not an unprimeable number, because it can be changed into a prime (2001102001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160759 + ... + 172758.

Almost surely, 22001102000 is an apocalyptic number.

2001102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001102000 is an abundant number, since it is smaller than the sum of its proper divisors (4450470192).

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

2001102000 is a wasteful number, since it uses less digits than its factorization.

2001102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333543 (or 333527 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2001102000 is about 44733.6785878380. The cubic root of 2001102000 is about 1260.1524129059.

Adding to 2001102000 its reverse (2011002), we get a palindrome (2003113002).

The spelling of 2001102000 in words is "two billion, one million, one hundred 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 333517 667034 1000551 1334068 1667585 2001102 2668136 3335170 4002204 5002755 5336272 6670340 8004408 8337925 10005510 13340680 16008816 16675850 20011020 25013775 26681360 33351700 40022040 41689625 50027550 66703400 80044080 83379250 100055100 125068875 133406800 166758500 200110200 250137750 333517000 400220400 500275500 667034000 1000551000 2001102000