Search a number
-
+
20211324144 = 24311591036299
BaseRepresentation
bin10010110100101100…
…000101010011110000
31221011120011122110220
4102310230011103300
5312343044333034
613141314453040
71313566264164
oct226454052360
957146148426
1020211324144
118631846a80
123b00894180
131ba13c83cb
14d9a3b4ca4
157d45b0749
hex4b4b054f0

20211324144 has 160 divisors (see below), whose sum is σ = 58496256000. Its totient is φ = 5961434880.

The previous prime is 20211324143. The next prime is 20211324149. The reversal of 20211324144 is 44142311202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211324143) 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, 3205507 + ... + 3211805.

It is an arithmetic number, because the mean of its divisors is an integer number (365601600).

Almost surely, 220211324144 is an apocalyptic number.

20211324144 is a gapful number since it is divisible by the number (24) 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 20211324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29248128000).

20211324144 is an abundant number, since it is smaller than the sum of its proper divisors (38284931856).

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

20211324144 is a wasteful number, since it uses less digits than its factorization.

20211324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483 (or 6477 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 20211324144 its reverse (44142311202), we get a palindrome (64353635346).

The spelling of 20211324144 in words is "twenty billion, two hundred eleven million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 103 118 132 176 177 206 236 264 309 354 412 472 528 618 649 708 824 944 1133 1236 1298 1416 1648 1947 2266 2472 2596 2832 3399 3894 4532 4944 5192 6077 6299 6798 7788 9064 10384 12154 12598 13596 15576 18128 18231 18897 24308 25196 27192 31152 36462 37794 48616 50392 54384 66847 69289 72924 75588 97232 100784 133694 138578 145848 151176 200541 207867 267388 277156 291696 302352 371641 401082 415734 534776 554312 648797 743282 802164 831468 1069552 1108624 1114923 1297594 1486564 1604328 1662936 1946391 2229846 2595188 2973128 3208656 3325872 3892782 4088051 4459692 5190376 5946256 7136767 7785564 8176102 8919384 10380752 12264153 14273534 15571128 16352204 17838768 21410301 24528306 28547068 31142256 32704408 38279023 42820602 49056612 57094136 65408816 76558046 85641204 98113224 114188272 114837069 153116092 171282408 196226448 229674138 306232184 342564816 421069253 459348276 612464368 842138506 918696552 1263207759 1684277012 1837393104 2526415518 3368554024 5052831036 6737108048 10105662072 20211324144