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11331132112032 = 253142382946329
BaseRepresentation
bin1010010011100011110000…
…0110101011110010100000
31111010020122002010212011220
42210320330012223302200
52441122124310041112
640033241125535040
72246435005534005
oct244707406536240
944106562125156
1011331132112032
113679562747817
121330071274480
136426a102cb15
142b260321d8ac
15149b3706c98c
hexa4e3c1abca0

11331132112032 has 48 divisors (see below), whose sum is σ = 29765124627840. Its totient is φ = 3774389709312.

The previous prime is 11331132111973. The next prime is 11331132112039. The reversal of 11331132112032 is 23021123113311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11331132111993 and 11331132112011.

It is not an unprimeable number, because it can be changed into a prime (11331132112039) 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, 41336557 + ... + 41609772.

It is an arithmetic number, because the mean of its divisors is an integer number (620106763080).

Almost surely, 211331132112032 is an apocalyptic number.

11331132112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331132112032 is an abundant number, since it is smaller than the sum of its proper divisors (18433992515808).

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

11331132112032 is a wasteful number, since it uses less digits than its factorization.

11331132112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82947765 (or 82947757 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11331132112032 its reverse (23021123113311), we get a palindrome (34352255225343).

The spelling of 11331132112032 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1423 2846 4269 5692 8538 11384 17076 22768 34152 45536 68304 136608 82946329 165892658 248838987 331785316 497677974 663570632 995355948 1327141264 1990711896 2654282528 3981423792 7962847584 118032626167 236065252334 354097878501 472130504668 708195757002 944261009336 1416391514004 1888522018672 2832783028008 3777044037344 5665566056016 11331132112032