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115220313 = 3413219443
BaseRepresentation
bin1101101111000…
…01111101011001
322000210210120000
412313201331121
5213444022223
615233323213
72566233165
oct667417531
9260723500
10115220313
115a0477aa
1232706509
131ab42500
1411433ca5
15a1ae543
hex6de1f59

115220313 has 60 divisors (see below), whose sum is σ = 196629840. Its totient is φ = 67021344.

The previous prime is 115220311. The next prime is 115220341. The reversal of 115220313 is 313022511.

It is not a de Polignac number, because 115220313 - 21 = 115220311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115220311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 259870 + ... + 260312.

It is an arithmetic number, because the mean of its divisors is an integer number (3277164).

Almost surely, 2115220313 is an apocalyptic number.

115220313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

115220313 is a deficient number, since it is larger than the sum of its proper divisors (81409527).

115220313 is a wasteful number, since it uses less digits than its factorization.

115220313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 115220313 is about 10734.0725263061. The cubic root of 115220313 is about 486.6047569857.

Adding to 115220313 its reverse (313022511), we get a palindrome (428242824).

The spelling of 115220313 in words is "one hundred fifteen million, two hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 9 13 19 27 39 57 81 117 169 171 247 351 443 507 513 741 1053 1329 1521 1539 2223 3211 3987 4563 5759 6669 8417 9633 11961 13689 17277 20007 25251 28899 35883 51831 74867 75753 86697 109421 155493 224601 227259 260091 328263 466479 673803 681777 984789 1422473 2021409 2954367 4267419 6064227 8863101 12802257 38406771 115220313