Search a number
-
+
11130501200 = 2452713305783
BaseRepresentation
bin10100101110110110…
…11111100001010000
31001201201000001020012
422113123133201100
5140243402014300
65040245134052
7542552461550
oct122733374120
931651001205
1011130501200
1147a1972325
1221a76ba328
131084c8a2b0
14778361160
1545226b435
hex2976df850

11130501200 has 120 divisors (see below), whose sum is σ = 32912143488. Its totient is φ = 3522608640.

The previous prime is 11130501181. The next prime is 11130501211. The reversal of 11130501200 is 210503111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116492 + ... + 189291.

Almost surely, 211130501200 is an apocalyptic number.

11130501200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130501200 is an abundant number, since it is smaller than the sum of its proper divisors (21781642288).

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

11130501200 is a wasteful number, since it uses less digits than its factorization.

11130501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305821 (or 305810 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The spelling of 11130501200 in words is "eleven billion, one hundred thirty million, five hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 305783 611566 1223132 1528915 2140481 2446264 3057830 3975179 4280962 4892528 6115660 7644575 7950358 8561924 10702405 12231320 15289150 15900716 17123848 19875895 21404810 24462640 27826253 30578300 31801432 34247696 39751790 42809620 53512025 55652506 61156600 63602864 79503580 85619240 99379475 107024050 111305012 122313200 139131265 159007160 171238480 198758950 214048100 222610024 278262530 318014320 397517900 428096200 445220048 556525060 695656325 795035800 856192400 1113050120 1391312650 1590071600 2226100240 2782625300 5565250600 11130501200