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30311011010313 = 3411474391648771
BaseRepresentation
bin1101110010001010101010…
…00010110100011100001001
310222022201000110210001210000
412321011111002310130021
512433103422304312223
6144244404120313213
76245620052352465
oct671052502643411
9128281013701700
1030311011010313
119726911566380
123496588312809
1313bb41554bb77
1476b0bca274a5
153786d3e9e543
hex1b91550b4709

30311011010313 has 80 divisors (see below), whose sum is σ = 50561637857280. Its totient is φ = 17938485698400.

The previous prime is 30311011010303. The next prime is 30311011010323. The reversal of 30311011010313 is 31301011011303.

30311011010313 is a `hidden beast` number, since 30 + 311 + 0 + 1 + 1 + 0 + 10 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (30311011010303) and next prime (30311011010323).

It is not a de Polignac number, because 30311011010313 - 25 = 30311011010281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30311011010303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17559618 + ... + 19208388.

It is an arithmetic number, because the mean of its divisors is an integer number (632020473216).

Almost surely, 230311011010313 is an apocalyptic number.

30311011010313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

30311011010313 is a deficient number, since it is larger than the sum of its proper divisors (20250626846967).

30311011010313 is a wasteful number, since it uses less digits than its factorization.

30311011010313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649280 (or 1649271 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

30311011010313 divided by its product of nonzero digits (81) gives a palindrome (374210012473).

Adding to 30311011010313 its reverse (31301011011303), we get a palindrome (61612022021616).

The spelling of 30311011010313 in words is "thirty trillion, three hundred eleven billion, eleven million, ten thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 47 81 99 141 297 423 439 517 891 1269 1317 1551 3807 3951 4653 4829 11853 13959 14487 20633 35559 41877 43461 61899 130383 185697 226963 391149 557091 680889 1648771 1671273 2042667 4946313 6128001 14838939 18136481 18384003 44516817 54409443 77492237 133550451 163228329 232476711 489684987 697430133 723810469 852414607 1469054961 2092290399 2171431407 2557243821 6276871197 6514294221 7671731463 7961915159 19542882663 23015194389 23885745477 34019092043 58628647989 69045583167 71657236431 102057276129 214971709293 306171828387 374210012473 644915127879 918515485161 1122630037419 2755546455483 3367890112257 10103670336771 30311011010313