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11131550000 = 24551271753
BaseRepresentation
bin10100101110111110…
…11111100100110000
31001201202222022220122
422113133133210300
5140244134100000
65040323425412
7542564420354
oct122737374460
931652868818
1011131550000
1147a25192aa
1221a7b25268
13108526679c
14778555464
154523c7085
hex2977df930

11131550000 has 120 divisors (see below), whose sum is σ = 27185260032. Its totient is φ = 4415040000.

The previous prime is 11131549993. The next prime is 11131550039. The reversal of 11131550000 is 5513111.

It is a super-2 number, since 2×111315500002 (a number of 21 digits) contains 22 as substring.

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, 6349124 + ... + 6350876.

Almost surely, 211131550000 is an apocalyptic number.

11131550000 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 11131550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592630016).

11131550000 is an abundant number, since it is smaller than the sum of its proper divisors (16053710032).

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

11131550000 is an equidigital number, since it uses as much as digits as its factorization.

11131550000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 17.

The spelling of 11131550000 in words is "eleven billion, one hundred thirty-one million, five hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 127 200 250 254 400 500 508 625 635 1000 1016 1250 1270 1753 2000 2032 2500 2540 3125 3175 3506 5000 5080 6250 6350 7012 8765 10000 10160 12500 12700 14024 15875 17530 25000 25400 28048 31750 35060 43825 50000 50800 63500 70120 79375 87650 127000 140240 158750 175300 219125 222631 254000 317500 350600 396875 438250 445262 635000 701200 793750 876500 890524 1095625 1113155 1270000 1587500 1753000 1781048 2191250 2226310 3175000 3506000 3562096 4382500 4452620 5478125 5565775 6350000 8765000 8905240 10956250 11131550 17530000 17810480 21912500 22263100 27828875 43825000 44526200 55657750 87650000 89052400 111315500 139144375 222631000 278288750 445262000 556577500 695721875 1113155000 1391443750 2226310000 2782887500 5565775000 11131550000