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2000113020 = 223358941617
BaseRepresentation
bin111011100110111…
…0100110101111100
312011101120021021000
41313031310311330
513044012104040
6530245210300
7100364452203
oct16715646574
95141507230
102000113020
11937014574
12479a00990
1325b4b6939
1414d8c823a
15ba8d6130
hex77374d7c

2000113020 has 96 divisors (see below), whose sum is σ = 6292641600. Its totient is φ = 527357952.

The previous prime is 2000112979. The next prime is 2000113021. The reversal of 2000113020 is 203110002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000112993 and 2000113011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000113021) 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, 27252 + ... + 68868.

It is an arithmetic number, because the mean of its divisors is an integer number (65548350).

Almost surely, 22000113020 is an apocalyptic number.

2000113020 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 2000113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146320800).

2000113020 is an abundant number, since it is smaller than the sum of its proper divisors (4292528580).

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

2000113020 is a wasteful number, since it uses less digits than its factorization.

2000113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41724 (or 41716 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2000113020 is about 44722.6231341588. The cubic root of 2000113020 is about 1259.9447821607.

Adding to 2000113020 its reverse (203110002), we get a palindrome (2203223022).

The spelling of 2000113020 in words is "two billion, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 356 445 534 540 801 890 1068 1335 1602 1780 2403 2670 3204 4005 4806 5340 8010 9612 12015 16020 24030 41617 48060 83234 124851 166468 208085 249702 374553 416170 499404 624255 749106 832340 1123659 1248510 1498212 1872765 2247318 2497020 3703913 3745530 4494636 5618295 7407826 7491060 11111739 11236590 14815652 18519565 22223478 22473180 33335217 37039130 44446956 55558695 66670434 74078260 100005651 111117390 133340868 166676085 200011302 222234780 333352170 400022604 500028255 666704340 1000056510 2000113020