Search a number
-
+
31302023233312 = 25131012193733961
BaseRepresentation
bin1110001111000000100011…
…11110011011111100100000
311002211102222211010010001101
413013200101332123330200
513100323020421431222
6150323541223444144
76410332213306156
oct707402176337440
9132742884103041
1031302023233312
119a79128089397
1236166602b6654
1314609ca756a60
147a305151b3d6
15394386650927
hex1c7811f9bf20

31302023233312 has 96 divisors (see below), whose sum is σ = 67028429939184. Its totient is φ = 14302973952000.

The previous prime is 31302023233303. The next prime is 31302023233319. The reversal of 31302023233312 is 21333232020313.

It can be written as a sum of positive squares in 8 ways, for example, as 5111415592336 + 26190607640976 = 2260844^2 + 5117676^2 .

It is not an unprimeable number, because it can be changed into a prime (31302023233319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921688012 + ... + 921721972.

Almost surely, 231302023233312 is an apocalyptic number.

31302023233312 is a gapful number since it is divisible by the number (32) 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 31302023233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33514214969592).

31302023233312 is an abundant number, since it is smaller than the sum of its proper divisors (35726406705872).

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

31302023233312 is a wasteful number, since it uses less digits than its factorization.

31302023233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56022 (or 56014 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 31302023233312 its reverse (21333232020313), we get a palindrome (52635255253625).

The spelling of 31302023233312 in words is "thirty-one trillion, three hundred two billion, twenty-three million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 2626 3232 5252 10504 21008 21937 33961 42016 43874 67922 87748 135844 175496 271688 285181 350992 441493 543376 570362 701984 882986 1086752 1140724 1765972 2215637 2281448 3430061 3531944 4431274 4562896 6860122 7063888 8862548 9125792 13720244 14127776 17725096 27440488 28803281 35450192 44590793 54880976 57606562 70900384 89181586 109761952 115213124 178363172 230426248 356726344 460852496 713452688 745002457 921704992 1426905376 1490004914 2980009828 5960019656 9685031941 11920039312 19370063882 23840078624 38740127764 75245248157 77480255528 150490496314 154960511056 300980992628 309921022112 601961985256 978188226041 1203923970512 1956376452082 2407847941024 3912752904164 7825505808328 15651011616656 31302023233312