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20010010110000 = 24354667000337
BaseRepresentation
bin1001000110010111100011…
…00010110110100000110000
32121211221100000020210002120
410203023301202312200300
510110321000042010000
6110320245521314240
74133450463402021
oct443136142664060
977757300223076
1020010010110000
11641521a057919
1222b20a7a95980
13b21c22100b51
144d26bd892c48
1524a78da8e6a0
hex1232f18b6830

20010010110000 has 100 divisors (see below), whose sum is σ = 64594980733272. Its totient is φ = 5336002688000.

The previous prime is 20010010109963. The next prime is 20010010110001. The reversal of 20010010110000 is 1101001002.

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 (6).

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 (20010010110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 333470169 + ... + 333530168.

Almost surely, 220010010110000 is an apocalyptic number.

20010010110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010010110000 is an abundant number, since it is smaller than the sum of its proper divisors (44584970623272).

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

20010010110000 is an equidigital number, since it uses as much as digits as its factorization.

20010010110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667000368 (or 667000347 counting only the distinct ones).

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

Adding to 20010010110000 its reverse (1101001002), we get a palindrome (20011111111002).

The spelling of 20010010110000 in words is "twenty trillion, ten billion, ten million, one hundred 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 667000337 1334000674 2001001011 2668001348 3335001685 4002002022 5336002696 6670003370 8004004044 10005005055 10672005392 13340006740 16008008088 16675008425 20010010110 26680013480 32016016176 33350016850 40020020220 50025025275 53360026960 66700033700 80040040440 83375042125 100050050550 133400067400 160080080880 166750084250 200100101100 250125126375 266800134800 333500168500 400200202200 416875210625 500250252750 667000337000 800400404400 833750421250 1000500505500 1250625631875 1334000674000 1667500842500 2001001011000 2501251263750 3335001685000 4002002022000 5002502527500 6670003370000 10005005055000 20010010110000