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1131334203312 = 243247511332693
BaseRepresentation
bin10000011101101000110…
…001011111011110110000
311000011011121220012222100
4100131220301133132300
5122013433024001222
62223421110140400
7144510342026655
oct20355061373660
94004147805870
101131334203312
113a6883733795
12163315651700
13828b86c2591
143ca84bb7c2c
151e6667c44ac
hex10768c5f7b0

1131334203312 has 120 divisors (see below), whose sum is σ = 3234261011904. Its totient is φ = 369004280832.

The previous prime is 1131334203299. The next prime is 1131334203323. The reversal of 1131334203312 is 2133024331311.

1131334203312 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 342 + 0 + 3 + 312 = 666.

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, 34588438 + ... + 34621130.

Almost surely, 21131334203312 is an apocalyptic number.

1131334203312 is a gapful number since it is divisible by the number (12) 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 1131334203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617130505952).

1131334203312 is an abundant number, since it is smaller than the sum of its proper divisors (2102926808592).

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

1131334203312 is a wasteful number, since it uses less digits than its factorization.

1131334203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37867 (or 37858 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1131334203312 its reverse (2133024331311), we get a palindrome (3264358534623).

The spelling of 1131334203312 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-four million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 5113 6768 10226 15339 20452 30678 32693 40904 46017 61356 65386 81808 92034 98079 122712 130772 184068 196158 240311 245424 261544 294237 368136 392316 480622 523088 588474 720933 736272 784632 961244 1176948 1441866 1536571 1569264 1922488 2162799 2353896 2883732 3073142 3844976 4325598 4609713 4707792 5767464 6146284 8651196 9219426 11534928 12292568 13829139 17302392 18438852 24585136 27658278 34604784 36877704 55316556 73755408 110633112 167159309 221266224 334318618 501477927 668637236 1002955854 1337274472 1504433781 2005911708 2674548944 3008867562 4011823416 6017735124 7856487523 8023646832 12035470248 15712975046 23569462569 24070940496 31425950092 47138925138 62851900184 70708387707 94277850276 125703800368 141416775414 188555700552 282833550828 377111401104 565667101656 1131334203312