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11331122001120 = 253257868834723
BaseRepresentation
bin1010010011100011101110…
…0000000111010011100000
31111010020121101010011121200
42210320323200013103200
52441122114213013440
640033240125121200
72246434523563065
oct244707340072340
944106541104550
1011331122001120
113679557a71299
1213300699b9200
1364269bbcc92c
142b2601b4ac6c
15149b36221c30
hexa4e3b8074e0

11331122001120 has 72 divisors (see below), whose sum is σ = 38667453833736. Its totient is φ = 3021632533248.

The previous prime is 11331122001071. The next prime is 11331122001137. The reversal of 11331122001120 is 2110022113311.

Adding to 11331122001120 its reverse (2110022113311), we get a palindrome (13441144114431).

11331122001120 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 220 + 0 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11331122001093 and 11331122001102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3934415922 + ... + 3934418801.

It is an arithmetic number, because the mean of its divisors is an integer number (537047969913).

Almost surely, 211331122001120 is an apocalyptic number.

11331122001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331122001120 is an abundant number, since it is smaller than the sum of its proper divisors (27336331832616).

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

11331122001120 is a wasteful number, since it uses less digits than its factorization.

11331122001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868834744 (or 7868834733 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 11331122001120 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7868834723 15737669446 23606504169 31475338892 39344173615 47213008338 62950677784 70819512507 78688347230 94426016676 118032520845 125901355568 141639025014 157376694460 188852033352 236065041690 251802711136 283278050028 314753388920 354097562535 377704066704 472130083380 566556100056 629506777840 708195125070 755408133408 944260166760 1133112200112 1259013555680 1416390250140 1888520333520 2266224400224 2832780500280 3777040667040 5665561000560 11331122001120