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206313615340 = 225717173350021
BaseRepresentation
bin1100000000100100111…
…1111110111111101100
3201201112100110120112121
43000021033332333230
511340012241142330
6234440144442324
720622433536550
oct3001117767754
9651470416477
10206313615340
117a551725918
1233b9a0193a4
13165bc372041
149db2809860
1555778aa17a
hex30093fefec

206313615340 has 96 divisors (see below), whose sum is σ = 524592319104. Its totient is φ = 66535403520.

The previous prime is 206313615331. The next prime is 206313615341. The reversal of 206313615340 is 43516313602.

It is a super-2 number, since 2×2063136153402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 206313615296 and 206313615305.

It is not an unprimeable number, because it can be changed into a prime (206313615341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4099530 + ... + 4149550.

It is an arithmetic number, because the mean of its divisors is an integer number (5464503324).

Almost surely, 2206313615340 is an apocalyptic number.

206313615340 is a gapful number since it is divisible by the number (20) 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 206313615340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262296159552).

206313615340 is an abundant number, since it is smaller than the sum of its proper divisors (318278703764).

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

206313615340 is a wasteful number, since it uses less digits than its factorization.

206313615340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51787 (or 51785 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 206313615340 its reverse (43516313602), we get a palindrome (249829928942).

The spelling of 206313615340 in words is "two hundred six billion, three hundred thirteen million, six hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1733 2380 3466 6932 8665 12131 17330 24262 29461 34660 48524 50021 58922 60655 100042 117844 121310 147305 200084 206227 242620 250105 294610 350147 412454 500210 589220 700294 824908 850357 1000420 1031135 1400588 1700714 1750735 2062270 3401428 3501470 4124540 4251785 5952499 7002940 8503570 11904998 17007140 23809996 29762495 59524990 86686393 119049980 173372786 346745572 433431965 606804751 866863930 1213609502 1473668681 1733727860 2427219004 2947337362 3034023755 5894674724 6068047510 7368343405 10315680767 12136095020 14736686810 20631361534 29473373620 41262723068 51578403835 103156807670 206313615340