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101000001000 = 2335333666667
BaseRepresentation
bin101111000010000010…
…0011011010111101000
3100122200212022122201210
41132010010123113220
53123322000013000
6114222044313120
710203605562213
oct1360404332750
9318625278653
10101000001000
113991995a708
12176a88427a0
1396a7a4a202
144c61bac77a
152961e1b350
hex178411b5e8

101000001000 has 64 divisors (see below), whose sum is σ = 315120012480. Its totient is φ = 26933332800.

The previous prime is 101000000971. The next prime is 101000001031. The reversal of 101000001000 is 100000101.

Adding to 101000001000 its reverse (100000101), we get a palindrome (101100001101).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16830334 + ... + 16836333.

It is an arithmetic number, because the mean of its divisors is an integer number (4923750195).

Almost surely, 2101000001000 is an apocalyptic number.

101000001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000001000 is an abundant number, since it is smaller than the sum of its proper divisors (214120011480).

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

101000001000 is a wasteful number, since it uses less digits than its factorization.

101000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666691 (or 33666677 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The spelling of 101000001000 in words is "one hundred one billion, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 33666667 67333334 101000001 134666668 168333335 202000002 269333336 336666670 404000004 505000005 673333340 808000008 841666675 1010000010 1346666680 1683333350 2020000020 2525000025 3366666700 4040000040 4208333375 5050000050 6733333400 8416666750 10100000100 12625000125 16833333500 20200000200 25250000250 33666667000 50500000500 101000001000