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1002111000 = 233531130367
BaseRepresentation
bin111011101110110…
…000000000011000
32120211122111212020
4323232300000120
54023020023000
6243234414440
733555542262
oct7356600030
92524574766
101002111000
11474735910
1223b731420
1312c7c8cb7
149713ab32
155ce9bba0
hex3bbb0018

1002111000 has 128 divisors (see below), whose sum is σ = 3410933760. Its totient is φ = 242928000.

The previous prime is 1002110983. The next prime is 1002111013. The reversal of 1002111000 is 1112001.

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 1002111000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17817 + ... + 48183.

It is an arithmetic number, because the mean of its divisors is an integer number (26647920).

Almost surely, 21002111000 is an apocalyptic number.

1002111000 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 1002111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705466880).

1002111000 is an abundant number, since it is smaller than the sum of its proper divisors (2408822760).

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

1002111000 is a wasteful number, since it uses less digits than its factorization.

1002111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30402 (or 30388 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1002111000 is about 31656.1368457997. The cubic root of 1002111000 is about 1000.7031720998.

Adding to 1002111000 its reverse (1112001), we get a palindrome (1003223001).

The spelling of 1002111000 in words is "one billion, two million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 30367 33000 60734 91101 121468 151835 182202 242936 303670 334037 364404 455505 607340 668074 728808 759175 911010 1002111 1214680 1336148 1518350 1670185 1822020 2004222 2277525 2672296 3036700 3340370 3644040 3795875 4008444 4555050 5010555 6073400 6680740 7591750 8016888 8350925 9110100 10021110 11387625 13361480 15183500 16701850 18220200 20042220 22775250 25052775 30367000 33403700 40084440 41754625 45550500 50105550 66807400 83509250 91101000 100211100 125263875 167018500 200422200 250527750 334037000 501055500 1002111000