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20323141104 = 2437713492441
BaseRepresentation
bin10010111011010110…
…101000010111110000
31221110100120112111210
4102323112220113300
5313110211003404
613200351240120
71316424564150
oct227326502760
957410515453
1020323141104
118689979792
123b32219040
131bbb6187a6
14dab1a0760
157de2eb689
hex4bb5a85f0

20323141104 has 160 divisors (see below), whose sum is σ = 61046092800. Its totient is φ = 5706086400.

The previous prime is 20323141099. The next prime is 20323141177. The reversal of 20323141104 is 40114132302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8324524 + ... + 8326964.

It is an arithmetic number, because the mean of its divisors is an integer number (381538080).

Almost surely, 220323141104 is an apocalyptic number.

20323141104 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 20323141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30523046400).

20323141104 is an abundant number, since it is smaller than the sum of its proper divisors (40722951696).

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

20323141104 is a wasteful number, since it uses less digits than its factorization.

20323141104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20323141104 its reverse (40114132302), we get a palindrome (60437273406).

The spelling of 20323141104 in words is "twenty billion, three hundred twenty-three million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 349 426 497 568 698 852 994 1047 1136 1396 1491 1704 1988 2094 2441 2443 2792 2982 3408 3976 4188 4882 4886 5584 5964 7323 7329 7952 8376 9764 9772 11928 14646 14658 16752 17087 19528 19544 23856 24779 29292 29316 34174 39056 39088 49558 51261 58584 58632 68348 74337 99116 102522 117168 117264 136696 148674 173311 173453 198232 205044 273392 297348 346622 346906 396464 410088 519933 520359 594696 693244 693812 820176 851909 1039866 1040718 1189392 1213177 1386488 1387624 1703818 2079732 2081436 2426354 2555727 2772976 2775248 3407636 3639531 4159464 4162872 4852708 5111454 5963363 6815272 7279062 8318928 8325744 9705416 10222908 11926726 13630544 14558124 17890089 19410832 20445816 23853452 29116248 35780178 40891632 47706904 58232496 60485539 71560356 95413808 120971078 143120712 181456617 241942156 286241424 362913234 423398773 483884312 725826468 846797546 967768624 1270196319 1451652936 1693595092 2540392638 2903305872 3387190184 5080785276 6774380368 10161570552 20323141104