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11051245200 = 2435217951449
BaseRepresentation
bin10100100101011010…
…01001111010010000
31001112011212102102210
422102231021322100
5140113104321300
65024334312120
7540601014522
oct122255117220
931464772383
1011051245200
11476115a0a6
122185058640
13107172a758
1476ba0da12
1544a313050
hex292b49e90

11051245200 has 120 divisors (see below), whose sum is σ = 35599284000. Its totient is φ = 2930478080.

The previous prime is 11051245171. The next prime is 11051245201. The reversal of 11051245200 is 254215011.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (11051245201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189076 + ... + 240524.

It is an arithmetic number, because the mean of its divisors is an integer number (296660700).

Almost surely, 211051245200 is an apocalyptic number.

11051245200 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 11051245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799642000).

11051245200 is an abundant number, since it is smaller than the sum of its proper divisors (24548038800).

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

11051245200 is a wasteful number, since it uses less digits than its factorization.

11051245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51649 (or 51638 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 11051245200 in words is "eleven billion, fifty-one million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 179 200 240 300 358 400 537 600 716 895 1074 1200 1432 1790 2148 2685 2864 3580 4296 4475 5370 7160 8592 8950 10740 13425 14320 17900 21480 26850 35800 42960 51449 53700 71600 102898 107400 154347 205796 214800 257245 308694 411592 514490 617388 771735 823184 1028980 1234776 1286225 1543470 2057960 2469552 2572450 3086940 3858675 4115920 5144900 6173880 7717350 9209371 10289800 12347760 15434700 18418742 20579600 27628113 30869400 36837484 46046855 55256226 61738800 73674968 92093710 110512452 138140565 147349936 184187420 221024904 230234275 276281130 368374840 442049808 460468550 552562260 690702825 736749680 920937100 1105124520 1381405650 1841874200 2210249040 2762811300 3683748400 5525622600 11051245200