Search a number
-
+
21311020000 = 25544212531
BaseRepresentation
bin10011110110001111…
…000101101111100000
32001000012102222121001
4103312033011233200
5322121110120000
613442401041344
71353051452434
oct236617055740
961005388531
1021311020000
119046573826
124169026254
1320181a080a
1410624749c4
1584add646a
hex4f63c5be0

21311020000 has 120 divisors (see below), whose sum is σ = 52573602312. Its totient is φ = 8500800000.

The previous prime is 21311019997. The next prime is 21311020039. The reversal of 21311020000 is 2011312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 8418735 + ... + 8421265.

Almost surely, 221311020000 is an apocalyptic number.

21311020000 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 21311020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26286801156).

21311020000 is an abundant number, since it is smaller than the sum of its proper divisors (31262582312).

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

21311020000 is an equidigital number, since it uses as much as digits as its factorization.

21311020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 21311020000 its reverse (2011312), we get a palindrome (21313031312).

The spelling of 21311020000 in words is "twenty-one billion, three hundred eleven million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 421 500 625 800 842 1000 1250 1684 2000 2105 2500 2531 3368 4000 4210 5000 5062 6736 8420 10000 10124 10525 12655 13472 16840 20000 20248 21050 25310 33680 40496 42100 50620 52625 63275 67360 80992 84200 101240 105250 126550 168400 202480 210500 253100 263125 316375 336800 404960 421000 506200 526250 632750 842000 1012400 1052500 1065551 1265500 1581875 1684000 2024800 2105000 2131102 2531000 3163750 4210000 4262204 5062000 5327755 6327500 8420000 8524408 10124000 10655510 12655000 17048816 21311020 25310000 26638775 34097632 42622040 50620000 53277550 85244080 106555100 133193875 170488160 213110200 266387750 426220400 532775500 665969375 852440800 1065551000 1331938750 2131102000 2663877500 4262204000 5327755000 10655510000 21311020000