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11130111240 = 2335236166109
BaseRepresentation
bin10100101110110100…
…00000010100001000
31001201200021020022020
422113122000110020
5140243302024430
65040232524440
7542546245623
oct122732002410
931650236266
1011130111240
1147a1726346
1221a7550720
131084b81951
1477829cdba
154521e0b10
hex297680508

11130111240 has 128 divisors (see below), whose sum is σ = 35413804800. Its totient is φ = 2792401920.

The previous prime is 11130111149. The next prime is 11130111269. The reversal of 11130111240 is 4211103111.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 135306 + ... + 201414.

It is an arithmetic number, because the mean of its divisors is an integer number (276670350).

Almost surely, 211130111240 is an apocalyptic number.

11130111240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17706902400).

11130111240 is an abundant number, since it is smaller than the sum of its proper divisors (24283693560).

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

11130111240 is a wasteful number, since it uses less digits than its factorization.

11130111240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66207 (or 66203 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11130111240 its reverse (4211103111), we get a palindrome (15341214351).

The spelling of 11130111240 in words is "eleven billion, one hundred thirty million, one hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 61 69 92 115 120 122 138 183 184 230 244 276 305 345 366 460 488 552 610 690 732 915 920 1220 1380 1403 1464 1830 2440 2760 2806 3660 4209 5612 7015 7320 8418 11224 14030 16836 21045 28060 33672 42090 56120 66109 84180 132218 168360 198327 264436 330545 396654 528872 661090 793308 991635 1322180 1520507 1586616 1983270 2644360 3041014 3966540 4032649 4561521 6082028 7602535 7933080 8065298 9123042 12097947 12164056 15205070 16130596 18246084 20163245 22807605 24195894 30410140 32261192 36492168 40326490 45615210 48391788 60489735 60820280 80652980 91230420 92750927 96783576 120979470 161305960 182460840 185501854 241958940 278252781 371003708 463754635 483917880 556505562 742007416 927509270 1113011124 1391263905 1855018540 2226022248 2782527810 3710037080 5565055620 11130111240