Search a number
-
+
20323311320 = 2351324173327
BaseRepresentation
bin10010111011010111…
…010001111011011000
31221110100220012000002
4102323113101323120
5313110231430240
613200355032132
71316426203334
oct227327217330
957410805002
1020323311320
118689a85664
123b3229b648
131bbb678100
14dab2067c4
157de331d15
hex4bb5d1ed8

20323311320 has 96 divisors (see below), whose sum is σ = 50723910720. Its totient is φ = 7320867840.

The previous prime is 20323311301. The next prime is 20323311341. The reversal of 20323311320 is 2311332302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20323311292 and 20323311301.

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, 240497 + ... + 313823.

It is an arithmetic number, because the mean of its divisors is an integer number (528374070).

Almost surely, 220323311320 is an apocalyptic number.

20323311320 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 20323311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25361955360).

20323311320 is an abundant number, since it is smaller than the sum of its proper divisors (30400599400).

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

20323311320 is a wasteful number, since it uses less digits than its factorization.

20323311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73405 (or 73388 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20323311320 its reverse (2311332302), we get a palindrome (22634643622).

The spelling of 20323311320 in words is "twenty billion, three hundred twenty-three million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 169 205 260 328 338 410 520 533 676 820 845 1066 1352 1640 1690 2132 2665 3380 4264 5330 6760 6929 10660 13858 21320 27716 34645 55432 69290 73327 138580 146654 277160 293308 366635 586616 733270 953251 1466540 1906502 2933080 3006407 3813004 4766255 6012814 7626008 9532510 12025628 12392263 15032035 19065020 24051256 24784526 30064070 38130040 39083291 49569052 60128140 61961315 78166582 99138104 120256280 123922630 156333164 195416455 247845260 312666328 390832910 495690520 508082783 781665820 1016165566 1563331640 2032331132 2540413915 4064662264 5080827830 10161655660 20323311320