Search a number
-
+
11131010310 = 2357234315347
BaseRepresentation
bin10100101110111010…
…11011110100000110
31001201201221220121010
422113131123310012
5140244014312220
65040304103050
7542560012050
oct122735336406
931651856533
1011131010310
1147a218a882
1221a7904a86
131085107c44
147784548d0
1545231c1e0
hex29775bd06

11131010310 has 128 divisors (see below), whose sum is σ = 31938084864. Its totient is φ = 2427511680.

The previous prime is 11131010309. The next prime is 11131010327. The reversal of 11131010310 is 1301013111.

It is a super-2 number, since 2×111310103102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2079057 + ... + 2084403.

It is an arithmetic number, because the mean of its divisors is an integer number (249516288).

Almost surely, 211131010310 is an apocalyptic number.

11131010310 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 11131010310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15969042432).

11131010310 is an abundant number, since it is smaller than the sum of its proper divisors (20807074554).

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

11131010310 is a wasteful number, since it uses less digits than its factorization.

11131010310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 11131010310 its reverse (1301013111), we get a palindrome (12432023421).

The spelling of 11131010310 in words is "eleven billion, one hundred thirty-one million, ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 431 483 690 805 862 966 1293 1610 2155 2415 2586 3017 4310 4830 5347 6034 6465 9051 9913 10694 12930 15085 16041 18102 19826 26735 29739 30170 32082 37429 45255 49565 53470 59478 69391 74858 80205 90510 99130 112287 122981 138782 148695 160410 187145 208173 224574 245962 297390 346955 368943 374290 416346 561435 614905 693910 737886 860867 1040865 1122870 1229810 1721734 1844715 2081730 2304557 2582601 3689430 4304335 4609114 5165202 6913671 8608670 11522785 12913005 13827342 16131899 23045570 25826010 32263798 34568355 48395697 53004811 69136710 80659495 96791394 106009622 159014433 161318990 241978485 265024055 318028866 371033677 483956970 530048110 742067354 795072165 1113101031 1590144330 1855168385 2226202062 3710336770 5565505155 11131010310