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10001010000 = 24354333367
BaseRepresentation
bin10010101000001101…
…10100110101010000
3221210222122221120210
421110012310311100
5130440224310000
64332220204120
7502556116362
oct112406646520
927728587523
1010001010000
114272344923
121b31399640
13c34c820c7
146ac346d32
153d800c350
hex2541b4d50

10001010000 has 100 divisors (see below), whose sum is σ = 32284690592. Its totient is φ = 2666928000.

The previous prime is 10001009987. The next prime is 10001010007. The reversal of 10001010000 is 1010001.

It is a tau number, because it is divible by the number of its divisors (100).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001010007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136684 + ... + 196683.

Almost surely, 210001010000 is an apocalyptic number.

10001010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001010000 is an abundant number, since it is smaller than the sum of its proper divisors (22283680592).

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

10001010000 is an equidigital number, since it uses as much as digits as its factorization.

10001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333398 (or 333377 counting only the distinct ones).

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

Adding to 10001010000 its reverse (1010001), we get a palindrome (10002020001).

Subtracting from 10001010000 its reverse (1010001), we obtain a palindrome (9999999999).

The spelling of 10001010000 in words is "ten billion, one million, ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 333367 666734 1000101 1333468 1666835 2000202 2666936 3333670 4000404 5000505 5333872 6667340 8000808 8334175 10001010 13334680 16001616 16668350 20002020 25002525 26669360 33336700 40004040 41670875 50005050 66673400 80008080 83341750 100010100 125012625 133346800 166683500 200020200 208354375 250025250 333367000 400040400 416708750 500050500 625063125 666734000 833417500 1000101000 1250126250 1666835000 2000202000 2500252500 3333670000 5000505000 10001010000