Search a number
-
+
21034124020 = 22571373315767
BaseRepresentation
bin10011100101101110…
…110100001011110100
32000021220102012201101
4103211232310023310
5321034213432040
613355110135444
71343150050510
oct234556641364
960256365641
1021034124020
118a1423a778
1240b0351584
131ca2a01c40
141037797140
1583193d09a
hex4e5bb42f4

21034124020 has 96 divisors (see below), whose sum is σ = 54442741248. Its totient is φ = 6647450112.

The previous prime is 21034124017. The next prime is 21034124029. The reversal of 21034124020 is 2042143012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21034124029) 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, 1326177 + ... + 1341943.

It is an arithmetic number, because the mean of its divisors is an integer number (567111888).

Almost surely, 221034124020 is an apocalyptic number.

21034124020 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 21034124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27221370624).

21034124020 is an abundant number, since it is smaller than the sum of its proper divisors (33408617228).

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

21034124020 is a wasteful number, since it uses less digits than its factorization.

21034124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16529 (or 16527 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21034124020 its reverse (2042143012), we get a palindrome (23076267032).

The spelling of 21034124020 in words is "twenty-one billion, thirty-four million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 733 910 1466 1820 2932 3665 5131 7330 9529 10262 14660 15767 19058 20524 25655 31534 38116 47645 51310 63068 66703 78835 95290 102620 110369 133406 157670 190580 204971 220738 266812 315340 333515 409942 441476 551845 667030 819884 1024855 1103690 1334060 1434797 2049710 2207380 2869594 4099420 5739188 7173985 11557211 14347970 23114422 28695940 46228844 57786055 80900477 115572110 150243743 161800954 231144220 300487486 323601908 404502385 600974972 751218715 809004770 1051706201 1502437430 1618009540 2103412402 3004874860 4206824804 5258531005 10517062010 21034124020