Search a number
-
+
231303020301200 = 2452975961418049
BaseRepresentation
bin110100100101111001101110…
…010111000100101110010000
31010022222100112011220110122002
4310211321232113010232100
5220304132041144114300
62135535050211533132
766502043316563321
oct6445715627045620
91108870464813562
10231303020301200
11677780729a2591
1221b380a95ba1a8
139c0aa20467323
1441191a9728448
151bb1ac7ee25d5
hexd25e6e5c4b90

231303020301200 has 60 divisors (see below), whose sum is σ = 561434429112900. Its totient is φ = 91567381217280.

The previous prime is 231303020301187. The next prime is 231303020301211. The reversal of 231303020301200 is 2103020303132.

231303020301200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19598541496576 + 211704478804624 = 4427024^2 + 14550068^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2980670225 + ... + 2980747824.

It is an arithmetic number, because the mean of its divisors is an integer number (9357240485215).

Almost surely, 2231303020301200 is an apocalyptic number.

231303020301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231303020301200 is an abundant number, since it is smaller than the sum of its proper divisors (330131408811700).

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

231303020301200 is a wasteful number, since it uses less digits than its factorization.

231303020301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961418164 (or 5961418153 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 231303020301200 its reverse (2103020303132), we get a palindrome (233406040604332).

The spelling of 231303020301200 in words is "two hundred thirty-one trillion, three hundred three billion, twenty million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 194 200 388 400 485 776 970 1552 1940 2425 3880 4850 7760 9700 19400 38800 5961418049 11922836098 23845672196 29807090245 47691344392 59614180490 95382688784 119228360980 149035451225 238456721960 298070902450 476913443920 578257550753 596141804900 1156515101506 1192283609800 2313030203012 2384567219600 2891287753765 4626060406024 5782575507530 9252120812048 11565151015060 14456438768825 23130302030120 28912877537650 46260604060240 57825755075300 115651510150600 231303020301200