Search a number
-
+
11290136110 = 25112193971237
BaseRepresentation
bin10101000001111000…
…11100111000101110
31002010211101100011021
422200330130320232
5141110233323420
65104150444354
7546531400501
oct124074347056
932124340137
1011290136110
114873a95400
1222310636ba
1310ac080816
14791637138
154612a07aa
hex2a0f1ce2e

11290136110 has 96 divisors (see below), whose sum is σ = 23591625120. Its totient is φ = 3876491520.

The previous prime is 11290136107. The next prime is 11290136111. The reversal of 11290136110 is 1163109211.

11290136110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11290136111) 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 47 ways as a sum of consecutive naturals, for example, 9126412 + ... + 9127648.

It is an arithmetic number, because the mean of its divisors is an integer number (245746095).

Almost surely, 211290136110 is an apocalyptic number.

11290136110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11290136110 is an abundant number, since it is smaller than the sum of its proper divisors (12301489010).

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

11290136110 is a wasteful number, since it uses less digits than its factorization.

11290136110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 11290136110 in words is "eleven billion, two hundred ninety million, one hundred thirty-six thousand, one hundred ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 121 190 209 242 397 418 605 794 1045 1210 1237 1985 2090 2299 2474 3970 4367 4598 6185 7543 8734 11495 12370 13607 15086 21835 22990 23503 27214 37715 43670 47006 48037 68035 75430 82973 96074 117515 136070 149677 165946 235030 240185 258533 299354 414865 480370 491089 517066 748385 829730 912703 982178 1292665 1496770 1825406 2455445 2585330 2843863 4563515 4910890 5401979 5687726 9127030 9330691 10803958 14219315 18661382 27009895 28438630 46653455 54019790 59421769 93306910 102637601 118843538 205275202 297108845 513188005 594217690 1026376010 1129013611 2258027222 5645068055 11290136110