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311331030320 = 245197103919013
BaseRepresentation
bin1001000011111001100…
…01101000010100110000
31002202121012021000012202
410201330301220110300
520100101220432240
6355005024242332
731331034044222
oct4417461502460
91082535230182
10311331030320
11110042283072
12504081703a8
13234874c9c8b
14110d5d82412
15817233b315
hex487cc68530

311331030320 has 80 divisors (see below), whose sum is σ = 728257495680. Its totient is φ = 123774508032.

The previous prime is 311331030313. The next prime is 311331030343. The reversal of 311331030320 is 23030133113.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3113310303202 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 311331030292 and 311331030301.

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, 16365134 + ... + 16384146.

It is an arithmetic number, because the mean of its divisors is an integer number (9103218696).

Almost surely, 2311331030320 is an apocalyptic number.

It is an amenable number.

311331030320 is an abundant number, since it is smaller than the sum of its proper divisors (416926465360).

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

311331030320 is a wasteful number, since it uses less digits than its factorization.

311331030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20262 (or 20256 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 311331030320 its reverse (23030133113), we get a palindrome (334361163433).

The spelling of 311331030320 in words is "three hundred eleven billion, three hundred thirty-one million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 394 788 985 1039 1576 1970 2078 3152 3940 4156 5195 7880 8312 10390 15760 16624 19013 20780 38026 41560 76052 83120 95065 152104 190130 204683 304208 380260 409366 760520 818732 1023415 1521040 1637464 2046830 3274928 3745561 4093660 7491122 8187320 14982244 16374640 18727805 19754507 29964488 37455610 39509014 59928976 74911220 79018028 98772535 149822440 158036056 197545070 299644880 316072112 395090140 790180280 1580360560 3891637879 7783275758 15566551516 19458189395 31133103032 38916378790 62266206064 77832757580 155665515160 311331030320