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113215115310 = 235112275311329
BaseRepresentation
bin110100101110000100…
…1011001000000101110
3101211020011012202102220
41221130021121000232
53323331032142220
6124002120500210
711115401413323
oct1513411310056
9354204182386
10113215115310
1144017a87900
1219b3761a666
13a8a362b6bb
1456a01c4b4a
152e294ce540
hex1a5c25902e

113215115310 has 96 divisors (see below), whose sum is σ = 298798204320. Its totient is φ = 27433697280.

The previous prime is 113215115287. The next prime is 113215115341. The reversal of 113215115310 is 13511512311.

113215115310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1132151153102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9987726 + ... + 9999054.

It is an arithmetic number, because the mean of its divisors is an integer number (3112481295).

Almost surely, 2113215115310 is an apocalyptic number.

113215115310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113215115310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149399102160).

113215115310 is an abundant number, since it is smaller than the sum of its proper divisors (185583089010).

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

113215115310 is a wasteful number, since it uses less digits than its factorization.

113215115310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14114 (or 14103 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

Adding to 113215115310 its reverse (13511512311), we get a palindrome (126726627621).

The spelling of 113215115310 in words is "one hundred thirteen billion, two hundred fifteen million, one hundred fifteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 2753 3630 5506 8259 11329 13765 16518 22658 27530 30283 33987 41295 56645 60566 67974 82590 90849 113290 124619 151415 169935 181698 249238 302830 333113 339870 373857 454245 623095 666226 747714 908490 999339 1246190 1370809 1665565 1869285 1998678 2741618 3331130 3738570 4112427 4996695 6854045 8224854 9993390 13708090 20562135 31188737 41124270 62377474 93566211 155943685 187132422 311887370 343076107 467831055 686152214 935662110 1029228321 1715380535 2058456642 3430761070 3773837177 5146141605 7547674354 10292283210 11321511531 18869185885 22643023062 37738371770 56607557655 113215115310