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1002102000 = 24353167017
BaseRepresentation
bin111011101110101…
…101110011110000
32120211122001111220
4323232231303300
54023014231000
6243234305040
733555504114
oct7356556360
92524561456
101002102000
1147472a079
1223b728180
1312c7c4b83
1497137744
155ce991a0
hex3bbadcf0

1002102000 has 80 divisors (see below), whose sum is σ = 3230796192. Its totient is φ = 267225600.

The previous prime is 1002101999. The next prime is 1002102041. The reversal of 1002102000 is 2012001.

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 1002102000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77509 + ... + 89508.

Almost surely, 21002102000 is an apocalyptic number.

1002102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002102000 is an abundant number, since it is smaller than the sum of its proper divisors (2228694192).

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

1002102000 is a wasteful number, since it uses less digits than its factorization.

1002102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167043 (or 167027 counting only the distinct ones).

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

The square root of 1002102000 is about 31655.9946929488. The cubic root of 1002102000 is about 1000.7001763054.

Adding to 1002102000 its reverse (2012001), we get a palindrome (1004114001).

The spelling of 1002102000 in words is "one billion, two 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 167017 334034 501051 668068 835085 1002102 1336136 1670170 2004204 2505255 2672272 3340340 4008408 4175425 5010510 6680680 8016816 8350850 10021020 12526275 13361360 16701700 20042040 20877125 25052550 33403400 40084080 41754250 50105100 62631375 66806800 83508500 100210200 125262750 167017000 200420400 250525500 334034000 501051000 1002102000