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11130323310 = 23251931720533
BaseRepresentation
bin10100101110110101…
…10100000101101110
31001201200200000012200
422113122310011232
5140243330321220
65040241242330
7542551121121
oct122732640556
931650600180
1011130323310
1147a1860707
1221a76333a6
131084c27332
147783163b8
15452233890
hex2976b416e

11130323310 has 96 divisors (see below), whose sum is σ = 30559520160. Its totient is φ = 2802864384.

The previous prime is 11130323299. The next prime is 11130323311. The reversal of 11130323310 is 1332303111.

It is a happy number.

11130323310 is a `hidden beast` number, since 1 + 1 + 1 + 30 + 323 + 310 = 666.

It is a super-2 number, since 2×111303233102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130323311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531804 + ... + 552336.

It is an arithmetic number, because the mean of its divisors is an integer number (318328335).

Almost surely, 211130323310 is an apocalyptic number.

11130323310 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 11130323310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15279760080).

11130323310 is an abundant number, since it is smaller than the sum of its proper divisors (19429196850).

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

11130323310 is a wasteful number, since it uses less digits than its factorization.

11130323310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20882 (or 20879 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11130323310 its reverse (1332303111), we get a palindrome (12462626421).

The spelling of 11130323310 in words is "eleven billion, one hundred thirty million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 317 342 570 634 855 951 1585 1710 1902 2853 3170 4755 5706 6023 9510 12046 14265 18069 20533 28530 30115 36138 41066 54207 60230 61599 90345 102665 108414 123198 180690 184797 205330 271035 307995 369594 390127 542070 615990 780254 923985 1170381 1847970 1950635 2340762 3511143 3901270 5851905 6508961 7022286 11703810 13017922 17555715 19526883 32544805 35111430 39053766 58580649 65089610 97634415 117161298 123670259 195268830 247340518 292903245 371010777 585806490 618351295 742021554 1113032331 1236702590 1855053885 2226064662 3710107770 5565161655 11130323310