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2010021000 = 233531351539
BaseRepresentation
bin111011111001110…
…0111110010001000
312012002012122110020
41313303213302020
513104031133000
6531241420440
7100544616351
oct16763476210
95162178406
102010021000
11941671589
1248119a720
13260575650
14150d46d28
15bb6e1ba0
hex77ce7c88

2010021000 has 128 divisors (see below), whose sum is σ = 6753801600. Its totient is φ = 494764800.

The previous prime is 2010020977. The next prime is 2010021007. The reversal of 2010021000 is 1200102.

It is a happy number.

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 2010021000.

It is not an unprimeable number, because it can be changed into a prime (2010021007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13231 + ... + 64769.

It is an arithmetic number, because the mean of its divisors is an integer number (52764075).

Almost surely, 22010021000 is an apocalyptic number.

2010021000 is a gapful number since it is divisible by the number (20) 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 2010021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376900800).

2010021000 is an abundant number, since it is smaller than the sum of its proper divisors (4743780600).

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

2010021000 is a wasteful number, since it uses less digits than its factorization.

2010021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51576 (or 51562 counting only the distinct ones).

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

The square root of 2010021000 is about 44833.2577446699. The cubic root of 2010021000 is about 1262.0218232903.

Adding to 2010021000 its reverse (1200102), we get a palindrome (2011221102).

The spelling of 2010021000 in words is "two billion, ten million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 51539 103078 154617 206156 257695 309234 412312 515390 618468 670007 773085 1030780 1236936 1288475 1340014 1546170 2010021 2061560 2576950 2680028 3092340 3350035 3865425 4020042 5153900 5360056 6184680 6442375 6700070 7730850 8040084 10050105 10307800 12884750 13400140 15461700 16080168 16750175 19327125 20100210 25769500 26800280 30923400 33500350 38654250 40200420 50250525 51539000 67000700 77308500 80400840 83750875 100501050 134001400 154617000 167501750 201002100 251252625 335003500 402004200 502505250 670007000 1005010500 2010021000