Search a number
-
+
20311253400 = 23352199170111
BaseRepresentation
bin10010111010101001…
…010010000110011000
31221102112012120122110
4102322221102012120
5313044140102100
613155244352320
71316221543134
oct227251220630
957375176573
1020311253400
11868319a339
123b2a2456a0
131bb9015949
14da97883c4
157dd24e250
hex4baa52198

20311253400 has 96 divisors (see below), whose sum is σ = 63281664000. Its totient is φ = 5389084800.

The previous prime is 20311253399. The next prime is 20311253401. The reversal of 20311253400 is 435211302.

It is an interprime number because it is at equal distance from previous prime (20311253399) and next prime (20311253401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311253401) 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, 34345 + ... + 204455.

It is an arithmetic number, because the mean of its divisors is an integer number (659184000).

Almost surely, 220311253400 is an apocalyptic number.

20311253400 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 20311253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31640832000).

20311253400 is an abundant number, since it is smaller than the sum of its proper divisors (42970410600).

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

20311253400 is a wasteful number, since it uses less digits than its factorization.

20311253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170329 (or 170320 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 20311253400 its reverse (435211302), we get a palindrome (20746464702).

The spelling of 20311253400 in words is "twenty billion, three hundred eleven million, two hundred fifty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 199 200 300 398 597 600 796 995 1194 1592 1990 2388 2985 3980 4776 4975 5970 7960 9950 11940 14925 19900 23880 29850 39800 59700 119400 170111 340222 510333 680444 850555 1020666 1360888 1701110 2041332 2551665 3402220 4082664 4252775 5103330 6804440 8505550 10206660 12758325 17011100 20413320 25516650 33852089 34022200 51033300 67704178 101556267 102066600 135408356 169260445 203112534 270816712 338520890 406225068 507781335 677041780 812450136 846302225 1015562670 1354083560 1692604450 2031125340 2538906675 3385208900 4062250680 5077813350 6770417800 10155626700 20311253400