Search a number
-
+
20313100000 = 2555712861
BaseRepresentation
bin10010111010110000…
…010100111011100000
31221102122200101201001
4102322300110323200
5313100123200000
613155352121344
71316243333614
oct227260247340
957378611631
1020313100000
118684240756
123b2a996254
131bb95112cb
14da9b09344
157dd4b646a
hex4bac14ee0

20313100000 has 144 divisors (see below), whose sum is σ = 50707816992. Its totient is φ = 8008000000.

The previous prime is 20313099977. The next prime is 20313100001. The reversal of 20313100000 is 131302.

It is a super-2 number, since 2×203131000002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 20313100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20313100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7098570 + ... + 7101430.

It is an arithmetic number, because the mean of its divisors is an integer number (352137618).

Almost surely, 220313100000 is an apocalyptic number.

20313100000 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 20313100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25353908496).

20313100000 is an abundant number, since it is smaller than the sum of its proper divisors (30394716992).

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

20313100000 is an frugal number, since it uses more digits than its factorization.

20313100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 20313100000 its reverse (131302), we get a palindrome (20313231302).

The spelling of 20313100000 in words is "twenty billion, three hundred thirteen million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 125 142 160 200 250 284 355 400 500 568 625 710 800 1000 1136 1250 1420 1775 2000 2272 2500 2840 2861 3125 3550 4000 5000 5680 5722 6250 7100 8875 10000 11360 11444 12500 14200 14305 17750 20000 22888 25000 28400 28610 35500 44375 45776 50000 56800 57220 71000 71525 88750 91552 100000 114440 142000 143050 177500 203131 221875 228880 284000 286100 355000 357625 406262 443750 457760 572200 710000 715250 812524 887500 1015655 1144400 1420000 1430500 1625048 1775000 1788125 2031310 2288800 2861000 3250096 3550000 3576250 4062620 5078275 5722000 6500192 7100000 7152500 8125240 8940625 10156550 11444000 14305000 16250480 17881250 20313100 25391375 28610000 32500960 35762500 40626200 50782750 57220000 71525000 81252400 101565500 126956875 143050000 162504800 203131000 253913750 286100000 406262000 507827500 634784375 812524000 1015655000 1269568750 2031310000 2539137500 4062620000 5078275000 10156550000 20313100000