Search a number
-
+
20313242000 = 245319717529
BaseRepresentation
bin10010111010110000…
…110111100110010000
31221102122221121111022
4102322300313212100
5313100142221000
613155355135012
71316244464612
oct227260674620
957378847438
1020313242000
118684328407
123b2aa44468
131bb9560b2c
14da9b44db2
157dd4e3585
hex4bac37990

20313242000 has 160 divisors (see below), whose sum is σ = 52437715200. Its totient is φ = 7588224000.

The previous prime is 20313241973. The next prime is 20313242029. The reversal of 20313242000 is 24231302.

It is a self number, because there is not a number n which added to its sum of digits gives 20313242000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2694236 + ... + 2701764.

It is an arithmetic number, because the mean of its divisors is an integer number (327735720).

Almost surely, 220313242000 is an apocalyptic number.

20313242000 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 20313242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26218857600).

20313242000 is an abundant number, since it is smaller than the sum of its proper divisors (32124473200).

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

20313242000 is a wasteful number, since it uses less digits than its factorization.

20313242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7626 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20313242000 its reverse (24231302), we get a palindrome (20337473302).

The spelling of 20313242000 in words is "twenty billion, three hundred thirteen million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 71 76 80 95 100 125 142 152 190 200 250 284 304 355 380 400 475 500 568 710 760 950 1000 1136 1349 1420 1520 1775 1900 2000 2375 2698 2840 3550 3800 4750 5396 5680 6745 7100 7529 7600 8875 9500 10792 13490 14200 15058 17750 19000 21584 26980 28400 30116 33725 35500 37645 38000 53960 60232 67450 71000 75290 107920 120464 134900 142000 143051 150580 168625 188225 269800 286102 301160 337250 376450 534559 539600 572204 602320 674500 715255 752900 941125 1069118 1144408 1349000 1430510 1505800 1882250 2138236 2288816 2672795 2698000 2861020 3011600 3576275 3764500 4276472 5345590 5722040 7152550 7529000 8552944 10156621 10691180 11444080 13363975 14305100 15058000 17881375 20313242 21382360 26727950 28610200 35762750 40626484 42764720 50783105 53455900 57220400 66819875 71525500 81252968 101566210 106911800 133639750 143051000 162505936 203132420 213823600 253915525 267279500 286102000 406264840 507831050 534559000 812529680 1015662100 1069118000 1269577625 2031324200 2539155250 4062648400 5078310500 10156621000 20313242000