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10001001000 = 233534337699
BaseRepresentation
bin10010101000001101…
…10010101000101000
3221210222122111020110
421110012302220220
5130440224013000
64332220054320
7502556051214
oct112406625050
927728574213
1010001001000
114272339091
121b313943a0
13c34c7ac93
146ac343944
153d8009850
hex2541b2a28

10001001000 has 128 divisors (see below), whose sum is σ = 31279248000. Its totient is φ = 2660428800.

The previous prime is 10001000939. The next prime is 10001001001. The reversal of 10001001000 is 10010001.

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 not an unprimeable number, because it can be changed into a prime (10001001001) by changing a digit.

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, 1295151 + ... + 1302849.

It is an arithmetic number, because the mean of its divisors is an integer number (244369125).

Almost surely, 210001001000 is an apocalyptic number.

10001001000 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 10001001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639624000).

10001001000 is an abundant number, since it is smaller than the sum of its proper divisors (21278247000).

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

10001001000 is a wasteful number, since it uses less digits than its factorization.

10001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156 (or 8142 counting only the distinct ones).

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

Adding to 10001001000 its reverse (10010001), we get a palindrome (10011011001).

Subtracting from 10001001000 its reverse (10010001), we obtain a palindrome (9990990999).

The spelling of 10001001000 in words is "ten billion, one million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 433 500 600 750 866 1000 1299 1500 1732 2165 2598 3000 3464 4330 5196 6495 7699 8660 10392 10825 12990 15398 17320 21650 23097 25980 30796 32475 38495 43300 46194 51960 54125 61592 64950 76990 86600 92388 108250 115485 129900 153980 162375 184776 192475 216500 230970 259800 307960 324750 384950 433000 461940 577425 649500 769900 923880 962375 1154850 1299000 1539800 1924750 2309700 2887125 3333667 3849500 4619400 5774250 6667334 7699000 10001001 11548500 13334668 16668335 20002002 23097000 26669336 33336670 40004004 50005005 66673340 80008008 83341675 100010010 133346680 166683350 200020020 250025025 333366700 400040040 416708375 500050050 666733400 833416750 1000100100 1250125125 1666833500 2000200200 2500250250 3333667000 5000500500 10001001000