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1000021000 = 23531190911
BaseRepresentation
bin111011100110110…
…001110000001000
32120200201022220211
4323212301300020
54022001133000
6243121530504
733532016056
oct7346616010
92520638824
101000021000
11473538640
1223aaa3a34
1312c246904
1496b551d6
155cbd77ba
hex3b9b1c08

1000021000 has 64 divisors (see below), whose sum is σ = 2552808960. Its totient is φ = 363640000.

The previous prime is 1000020997. The next prime is 1000021003. The reversal of 1000021000 is 1200001.

1000021000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000020997) and next prime (1000021003).

It is a Harshad number since it is a multiple of its sum of digits (4).

1000021000 is a modest number, since divided by 21000 gives 1000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1000021003) 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, 34456 + ... + 56455.

It is an arithmetic number, because the mean of its divisors is an integer number (39887640).

Almost surely, 21000021000 is an apocalyptic number.

1000021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000021000 is an abundant number, since it is smaller than the sum of its proper divisors (1552787960).

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

1000021000 is a wasteful number, since it uses less digits than its factorization.

1000021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90943 (or 90929 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 1000021000 is about 31623.1086390949. The cubic root of 1000021000 is about 1000.0069999510.

Adding to 1000021000 its reverse (1200001), we get a palindrome (1001221001).

The spelling of 1000021000 in words is "one billion, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 90911 181822 363644 454555 727288 909110 1000021 1818220 2000042 2272775 3636440 4000084 4545550 5000105 8000168 9091100 10000210 11363875 18182200 20000420 22727750 25000525 40000840 45455500 50001050 90911000 100002100 125002625 200004200 250005250 500010500 1000021000