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115312330 = 25719277313
BaseRepresentation
bin1101101111110…
…00011011001010
322000222110210001
412313320123022
5214004443310
615235313214
72600065360
oct667703312
9260873701
10115312330
115a0aa951
123274b80a
131ab75363
1411459630
15a1cb93a
hex6df86ca

115312330 has 64 divisors (see below), whose sum is σ = 251400960. Its totient is φ = 37200384.

The previous prime is 115312297. The next prime is 115312361. The reversal of 115312330 is 33213511.

It is a super-3 number, since 3×1153123303 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 115312298 and 115312307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368254 + ... + 368566.

It is an arithmetic number, because the mean of its divisors is an integer number (3928140).

Almost surely, 2115312330 is an apocalyptic number.

115312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115312330 is an abundant number, since it is smaller than the sum of its proper divisors (136088630).

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

115312330 is a wasteful number, since it uses less digits than its factorization.

115312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 115312330 is about 10738.3578819110. The cubic root of 115312330 is about 486.7342596010.

Adding to 115312330 its reverse (33213511), we get a palindrome (148525841).

It can be divided in two parts, 11531 and 2330, that added together give a triangular number (13861 = T166).

The spelling of 115312330 in words is "one hundred fifteen million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 277 313 554 626 665 1330 1385 1565 1939 2191 2770 3130 3878 4382 5263 5947 9695 10526 10955 11894 19390 21910 26315 29735 36841 41629 52630 59470 73682 83258 86701 173402 184205 208145 368410 416290 433505 606907 867010 1213814 1647319 3034535 3294638 6069070 8236595 11531233 16473190 23062466 57656165 115312330