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142310001200 = 24523112319323
BaseRepresentation
bin1000010010001001010…
…1100100101000110000
3111121022211101002200012
42010202111210220300
54312422330014300
6145213141114052
713165401023453
oct2044225445060
9447284332605
10142310001200
1155398316244
12236b73b8928
131055c329403
146c6034149a
153a7d91b435
hex2122564a30

142310001200 has 120 divisors (see below), whose sum is σ = 353253390336. Its totient is φ = 55037088000.

The previous prime is 142310001157. The next prime is 142310001227. The reversal of 142310001200 is 2100013241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15259739 + ... + 15269061.

Almost surely, 2142310001200 is an apocalyptic number.

142310001200 is a gapful number since it is divisible by the number (10) 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 142310001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176626695168).

142310001200 is an abundant number, since it is smaller than the sum of its proper divisors (210943389136).

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

142310001200 is a wasteful number, since it uses less digits than its factorization.

142310001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 142310001200 its reverse (2100013241), we get a palindrome (144410014441).

The spelling of 142310001200 in words is "one hundred forty-two billion, three hundred ten million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1231 1240 1550 2462 2480 3100 4924 6155 6200 9323 9848 12310 12400 18646 19696 24620 30775 37292 38161 46615 49240 61550 74584 76322 93230 98480 123100 149168 152644 186460 190805 233075 246200 289013 305288 372920 381610 466150 492400 578026 610576 745840 763220 932300 954025 1156052 1445065 1526440 1864600 1908050 2312104 2890130 3052880 3729200 3816100 4624208 5780260 7225325 7632200 11476613 11560520 14450650 15264400 22953226 23121040 28901300 45906452 57383065 57802600 91812904 114766130 115605200 183625808 229532260 286915325 355775003 459064520 573830650 711550006 918129040 1147661300 1423100012 1778875015 2295322600 2846200024 3557750030 4590645200 5692400048 7115500060 8894375075 14231000120 17788750150 28462000240 35577500300 71155000600 142310001200