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311432030312 = 231329181570497
BaseRepresentation
bin1001000100000101100…
…10111010100001101000
31002202212020022100011012
410202002302322201220
520100303044432222
6355023033123052
731333401402644
oct4420262724150
91082766270135
10311432030312
11110094297937
1250435b59488
13234a24009a0
1411105553c24
15817b13c1e2
hex4882cba868

311432030312 has 64 divisors (see below), whose sum is σ = 654133006800. Its totient is φ = 138014392320.

The previous prime is 311432030309. The next prime is 311432030387. The reversal of 311432030312 is 213030234113.

It can be written as a sum of positive squares in 8 ways, for example, as 320195236 + 311111835076 = 17894^2 + 557774^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260648 + ... + 831144.

Almost surely, 2311432030312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311432030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327066503400).

311432030312 is an abundant number, since it is smaller than the sum of its proper divisors (342700976488).

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

311432030312 is a wasteful number, since it uses less digits than its factorization.

311432030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570726 (or 570722 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 311432030312 its reverse (213030234113), we get a palindrome (524462264425).

The spelling of 311432030312 in words is "three hundred eleven billion, four hundred thirty-two million, thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 181 232 362 377 724 754 1448 1508 2353 3016 4706 5249 9412 10498 18824 20996 41992 68237 136474 272948 545896 570497 1140994 2281988 4563976 7416461 14832922 16544413 29665844 33088826 59331688 66177652 103259957 132355304 206519914 215077369 413039828 430154738 826079656 860309476 1342379441 1720618952 2684758882 2994538753 5369517764 5989077506 10739035528 11978155012 23956310024 38929003789 77858007578 155716015156 311432030312