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1131213212200 = 23527380995773
BaseRepresentation
bin10000011101100001100…
…011111100101000101000
311000010212012020020101001
4100131201203330220220
5122013211040242300
62223401105004344
7144504342440131
oct20354143745050
94003765206331
101131213212200
113a6821405335
121632a10236b4
138289960c4c6
143ca72ac0c88
151e65ad7516a
hex107618fca28

1131213212200 has 96 divisors (see below), whose sum is σ = 2669422505400. Its totient is φ = 445730549760.

The previous prime is 1131213212161. The next prime is 1131213212209. The reversal of 1131213212200 is 22123121311.

It can be written as a sum of positive squares in 12 ways, for example, as 197628258916 + 933584953284 = 444554^2 + 966222^2 .

It is not an unprimeable number, because it can be changed into a prime (1131213212209) 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, 11763514 + ... + 11859286.

Almost surely, 21131213212200 is an apocalyptic number.

1131213212200 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 1131213212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334711252700).

1131213212200 is an abundant number, since it is smaller than the sum of its proper divisors (1538209293200).

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

1131213212200 is a wasteful number, since it uses less digits than its factorization.

1131213212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96671 (or 96662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1131213212200 its reverse (22123121311), we get a palindrome (1153336333511).

The spelling of 1131213212200 in words is "one trillion, one hundred thirty-one billion, two hundred thirteen million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 809 1460 1618 1825 2920 3236 3650 4045 6472 7300 8090 14600 16180 20225 32360 40450 59057 80900 95773 118114 161800 191546 236228 295285 383092 472456 478865 590570 766184 957730 1181140 1476425 1915460 2362280 2394325 2952850 3830920 4788650 5905700 6991429 9577300 11811400 13982858 19154600 27965716 34957145 55931432 69914290 77480357 139828580 154960714 174785725 279657160 309921428 349571450 387401785 619842856 699142900 774803570 1398285800 1549607140 1937008925 3099214280 3874017850 5656066061 7748035700 11312132122 15496071400 22624264244 28280330305 45248528488 56560660610 113121321220 141401651525 226242642440 282803303050 565606606100 1131213212200