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11331112033120 = 255116438131837
BaseRepresentation
bin1010010011100011101011…
…1010000101101101100000
31111010020120200100202002111
42210320322322011231200
52441122104140024440
640033235131325104
72246434343055625
oct244707272055540
944106520322074
1011331112033120
113679552383180
1213300665b0794
13642699b1c7c9
142b26006b434c
15149b354034ea
hexa4e3ae85b60

11331112033120 has 48 divisors (see below), whose sum is σ = 29203366017168. Its totient is φ = 4120404375040.

The previous prime is 11331112033081. The next prime is 11331112033121. The reversal of 11331112033120 is 2133021113311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11331112033091 and 11331112033100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331112033121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3219064159 + ... + 3219067678.

It is an arithmetic number, because the mean of its divisors is an integer number (608403458691).

Almost surely, 211331112033120 is an apocalyptic number.

11331112033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331112033120 is an abundant number, since it is smaller than the sum of its proper divisors (17872253984048).

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

11331112033120 is a wasteful number, since it uses less digits than its factorization.

11331112033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438131863 (or 6438131855 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11331112033120 its reverse (2133021113311), we get a palindrome (13464133146431).

The spelling of 11331112033120 in words is "eleven trillion, three hundred thirty-one billion, one hundred twelve million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6438131837 12876263674 25752527348 32190659185 51505054696 64381318370 70819450207 103010109392 128762636740 141638900414 206020218784 257525273480 283277800828 354097251035 515050546960 566555601656 708194502070 1030101093920 1133111203312 1416389004140 2266222406624 2832778008280 5665556016560 11331112033120