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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".