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231325330800 = 243521711339477
BaseRepresentation
bin1101011101110000010…
…0000110110101110000
3211010002110102100221110
43113130010012311300
512242223241041200
6254134104353320
722466312604024
oct3273404066560
9733073370843
10231325330800
118a117133943
12389ba475840
1318a7714ab85
14b2a6562384
15603d5e3b50
hex35dc106d70

231325330800 has 120 divisors (see below), whose sum is σ = 784601161776. Its totient is φ = 58058117120.

The previous prime is 231325330793. The next prime is 231325330801. The reversal of 231325330800 is 8033523132.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2313253308002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231325330801) 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, 5649339 + ... + 5690138.

Almost surely, 2231325330800 is an apocalyptic number.

231325330800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231325330800 is an abundant number, since it is smaller than the sum of its proper divisors (553275830976).

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

231325330800 is a wasteful number, since it uses less digits than its factorization.

231325330800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11339515 (or 11339504 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 231325330800 its reverse (8033523132), we get a palindrome (239358853932).

The spelling of 231325330800 in words is "two hundred thirty-one billion, three hundred twenty-five million, three hundred thirty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 11339477 22678954 34018431 45357908 56697385 68036862 90715816 113394770 136073724 170092155 181431632 192771109 226789540 272147448 283486925 340184310 385542218 453579080 544294896 566973850 578313327 680368620 771084436 850460775 907158160 963855545 1133947700 1156626654 1360737240 1542168872 1700921550 1927711090 2267895400 2313253308 2721474480 2891566635 3084337744 3401843100 3855422180 4535790800 4626506616 4819277725 5783133270 6803686200 7710844360 9253013232 9638555450 11566266540 13607372400 14457833175 15421688720 19277110900 23132533080 28915666350 38554221800 46265066160 57831332700 77108443600 115662665400 231325330800