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2104200020 = 2251331713677
BaseRepresentation
bin111110101101011…
…1000101101010100
312102122102102210002
41331122320231110
513302133400040
6544444150432
7103100255636
oct17532705524
95378372702
102104200020
1198a84768a
124a8838418
13276c2b790
1415d660a56
15c4ae6a15
hex7d6b8b54

2104200020 has 96 divisors (see below), whose sum is σ = 4982777856. Its totient is φ = 741081600.

The previous prime is 2104199971. The next prime is 2104200023. The reversal of 2104200020 is 200024012.

It is a junction number, because it is equal to n+sod(n) for n = 2104199974 and 2104200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104200023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570422 + ... + 574098.

It is an arithmetic number, because the mean of its divisors is an integer number (51903936).

Almost surely, 22104200020 is an apocalyptic number.

2104200020 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 2104200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491388928).

2104200020 is an abundant number, since it is smaller than the sum of its proper divisors (2878577836).

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

2104200020 is a wasteful number, since it uses less digits than its factorization.

2104200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2104200020 is about 45871.5600345138. The cubic root of 2104200020 is about 1281.4323199760.

Adding to 2104200020 its reverse (200024012), we get a palindrome (2304224032).

The spelling of 2104200020 in words is "two billion, one hundred four million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 71 124 130 142 155 260 284 310 355 403 620 710 806 923 1420 1612 1846 2015 2201 3677 3692 4030 4402 4615 7354 8060 8804 9230 11005 14708 18385 18460 22010 28613 36770 44020 47801 57226 73540 95602 113987 114452 143065 191204 227974 239005 261067 286130 455948 478010 522134 569935 572260 956020 1044268 1139870 1305335 1481831 2279740 2610670 2963662 3393871 5221340 5927324 6787742 7409155 8093077 13575484 14818310 16186154 16969355 29636620 32372308 33938710 40465385 67877420 80930770 105210001 161861540 210420002 420840004 526050005 1052100010 2104200020