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20011110020 = 22511714632767
BaseRepresentation
bin10010101000110000…
…010100111010000100
31220122121102201022222
4102220300110322010
5311440321010040
613105403311512
71305615425426
oct225060247204
956577381288
1020011110020
118539828160
123a6581b598
131b6ba97805
14d7b978816
157c1c12bb5
hex4a8c14e84

20011110020 has 96 divisors (see below), whose sum is σ = 46606565376. Its totient is φ = 7156195200.

The previous prime is 20011110019. The next prime is 20011110029. The reversal of 20011110020 is 2001111002.

It is not an unprimeable number, because it can be changed into a prime (20011110029) 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, 7230677 + ... + 7233443.

It is an arithmetic number, because the mean of its divisors is an integer number (485485056).

Almost surely, 220011110020 is an apocalyptic number.

20011110020 is a gapful number since it is divisible by the number (20) 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 20011110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23303282688).

20011110020 is an abundant number, since it is smaller than the sum of its proper divisors (26595455356).

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

20011110020 is a wasteful number, since it uses less digits than its factorization.

20011110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20011110020 its reverse (2001111002), we get a palindrome (22012221022).

It can be divided in two parts, 20011 and 110020, that added together give a palindrome (130031).

The spelling of 20011110020 in words is "twenty billion, eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 463 710 781 926 1420 1562 1852 2315 2767 3124 3905 4630 5093 5534 7810 9260 10186 11068 13835 15620 20372 25465 27670 30437 32873 50930 55340 60874 65746 101860 121748 131492 152185 164365 196457 304370 328730 361603 392914 608740 657460 723206 785828 982285 1281121 1446412 1808015 1964570 2161027 2562242 3616030 3929140 4322054 5124484 6405605 7232060 8644108 10805135 12811210 14092331 21610270 25622420 28184662 43220540 56369324 70461655 90959591 140923310 181919182 281846620 363838364 454797955 909595910 1000555501 1819191820 2001111002 4002222004 5002777505 10005555010 20011110020