Search a number
-
+
20412021200 = 2452298632039
BaseRepresentation
bin10011000000101001…
…101011100111010000
31221200112211010002012
4103000221223213100
5313300434134300
613213244242052
71321554213614
oct230051534720
957615733065
1020412021200
11872506570a
123b57b40328
131c03b67a6c
14db8cd9344
157e7006435
hex4c0a6b9d0

20412021200 has 120 divisors (see below), whose sum is σ = 50814604800. Its totient is φ = 7870266880.

The previous prime is 20412021197. The next prime is 20412021251. The reversal of 20412021200 is 212021402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10009781 + ... + 10011819.

It is an arithmetic number, because the mean of its divisors is an integer number (423455040).

Almost surely, 220412021200 is an apocalyptic number.

20412021200 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 20412021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25407302400).

20412021200 is an abundant number, since it is smaller than the sum of its proper divisors (30402583600).

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

20412021200 is a wasteful number, since it uses less digits than its factorization.

20412021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20412021200 its reverse (212021402), we get a palindrome (20624042602).

It can be divided in two parts, 2041202 and 1200, that added together give a palindrome (2042402).

The spelling of 20412021200 in words is "twenty billion, four hundred twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 863 1160 1450 1726 2039 2320 2900 3452 4078 4315 5800 6904 8156 8630 10195 11600 13808 16312 17260 20390 21575 25027 32624 34520 40780 43150 50054 50975 59131 69040 81560 86300 100108 101950 118262 125135 163120 172600 200216 203900 236524 250270 295655 345200 400432 407800 473048 500540 591310 625675 815600 946096 1001080 1182620 1251350 1478275 1759657 2002160 2365240 2502700 2956550 3519314 4730480 5005400 5913100 7038628 8798285 10010800 11826200 14077256 17596570 23652400 28154512 35193140 43991425 51030053 70386280 87982850 102060106 140772560 175965700 204120212 255150265 351931400 408240424 510300530 703862800 816480848 1020601060 1275751325 2041202120 2551502650 4082404240 5103005300 10206010600 20412021200