Search a number
-
+
20120202030 = 2352952144389
BaseRepresentation
bin10010101111010000…
…011110101100101110
31220221012201011102210
4102233100132230232
5312201232431110
613124301431250
71311411616065
oct225720365456
956835634383
1020120202030
118595369645
123a9626b526
131b885727b6
14d8c2551dc
157cb5b1520
hex4af41eb2e

20120202030 has 64 divisors (see below), whose sum is σ = 50050612800. Its totient is φ = 5170314240.

The previous prime is 20120201999. The next prime is 20120202031. The reversal of 20120202030 is 3020202102.

It is a super-3 number, since 3×201202020303 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20120201997 and 20120202015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120202031) 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 31 ways as a sum of consecutive naturals, for example, 431076 + ... + 475464.

It is an arithmetic number, because the mean of its divisors is an integer number (782040825).

Almost surely, 220120202030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120202030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25025306400).

20120202030 is an abundant number, since it is smaller than the sum of its proper divisors (29930410770).

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

20120202030 is a wasteful number, since it uses less digits than its factorization.

20120202030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44949.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20120202030 its reverse (3020202102), we get a palindrome (23140404132).

The spelling of 20120202030 in words is "twenty billion, one hundred twenty million, two hundred two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 521 870 1042 1563 2605 3126 5210 7815 15109 15630 30218 44389 45327 75545 88778 90654 133167 151090 221945 226635 266334 443890 453270 665835 1287281 1331670 2574562 3861843 6436405 7723686 12872810 19309215 23126669 38618430 46253338 69380007 115633345 138760014 231266690 346900035 670673401 693800070 1341346802 2012020203 3353367005 4024040406 6706734010 10060101015 20120202030