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11131052640 = 253597239069
BaseRepresentation
bin10100101110111011…
…00110001001100000
31001201202001001122220
422113131212021200
5140244022141030
65040305031040
7542560246341
oct122735461140
931652031586
1011131052640
1147a2209664
1221a7925480
1310851212a6
147784660c8
15452329a10
hex297766260

11131052640 has 96 divisors (see below), whose sum is σ = 35424436320. Its totient is φ = 2937667584.

The previous prime is 11131052609. The next prime is 11131052659. The reversal of 11131052640 is 4625013111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11131052640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72975 + ... + 166094.

It is an arithmetic number, because the mean of its divisors is an integer number (369004545).

Almost surely, 211131052640 is an apocalyptic number.

11131052640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131052640 is an abundant number, since it is smaller than the sum of its proper divisors (24293383680).

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

11131052640 is a wasteful number, since it uses less digits than its factorization.

11131052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239184 (or 239176 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11131052640 its reverse (4625013111), we get a palindrome (15756065751).

The spelling of 11131052640 in words is "eleven billion, one hundred thirty-one million, fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 7760 9312 11640 15520 23280 46560 239069 478138 717207 956276 1195345 1434414 1912552 2390690 2868828 3586035 3825104 4781380 5737656 7172070 7650208 9562760 11475312 14344140 19125520 22950624 23189693 28688280 38251040 46379386 57376560 69569079 92758772 114753120 115948465 139138158 185517544 231896930 278276316 347845395 371035088 463793860 556552632 695690790 742070176 927587720 1113105264 1391381580 1855175440 2226210528 2782763160 3710350880 5565526320 11131052640