Search a number
-
+
230313333123020 = 225743118232093761
BaseRepresentation
bin110100010111100000000000…
…011010000110011111001100
31010012110201222011212200010202
4310113200000122012133030
5220141423201234414040
62133500252400553032
766340406045430230
oct6427400032063714
91105421864780122
10230313333123020
1167426377323334
12219b8325322778
139b685b9925b24
1440c3320bd45c0
151b95ea1d2c015
hexd178006867cc

230313333123020 has 96 divisors (see below), whose sum is σ = 554338665086976. Its totient is φ = 78738106060800.

The previous prime is 230313333123019. The next prime is 230313333123073. The reversal of 230313333123020 is 20321333313032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108952940 + ... + 111046700.

It is an arithmetic number, because the mean of its divisors is an integer number (5774361094656).

Almost surely, 2230313333123020 is an apocalyptic number.

230313333123020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230313333123020 is an abundant number, since it is smaller than the sum of its proper divisors (324025331963956).

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

230313333123020 is a wasteful number, since it uses less digits than its factorization.

230313333123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096031 (or 2096029 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 230313333123020 its reverse (20321333313032), we get a palindrome (250634666436052).

It can be divided in two parts, 230313 and 333123020, that added together give a palindrome (333353333).

The spelling of 230313333123020 in words is "two hundred thirty trillion, three hundred thirteen billion, three hundred thirty-three million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 431 862 1724 1823 2155 3017 3646 4310 6034 7292 8620 9115 12068 12761 15085 18230 25522 30170 36460 51044 60340 63805 127610 255220 785713 1571426 2093761 3142852 3928565 4187522 5499991 7857130 8375044 10468805 10999982 14656327 15714260 20937610 21999964 27499955 29312654 41875220 54999910 58625308 73281635 109999820 146563270 293126540 902410991 1804821982 3609643964 3816926303 4512054955 6316876937 7633852606 9024109910 12633753874 15267705212 18048219820 19084631515 25267507748 26718484121 31584384685 38169263030 53436968242 63168769370 76338526060 106873936484 126337538740 133592420605 267184841210 534369682420 1645095236593 3290190473186 6580380946372 8225476182965 11515666656151 16450952365930 23031333312302 32901904731860 46062666624604 57578333280755 115156666561510 230313333123020