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1332310010112 = 28321875730829
BaseRepresentation
bin10011011000110011110…
…111010110100100000000
311201100220222100000202100
4103120303313112210000
5133312032330310422
62500015455150400
7165153612142524
oct23306367264400
94640828300670
101332310010112
114740362a3a94
12196263b15400
1398836c2aa13
14486ac709d84
15249ca74b7ac
hex13633dd6900

1332310010112 has 108 divisors (see below), whose sum is σ = 3841707617020. Its totient is φ = 444065255424.

The previous prime is 1332310010093. The next prime is 1332310010131. The reversal of 1332310010112 is 2110100132331.

1332310010112 is a `hidden beast` number, since 1 + 332 + 310 + 0 + 10 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1332310010093) and next prime (1332310010131).

It can be written as a sum of positive squares in 2 ways, for example, as 1009976760576 + 322333249536 = 1004976^2 + 567744^2 .

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

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, 43200714 + ... + 43231542.

Almost surely, 21332310010112 is an apocalyptic number.

1332310010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1332310010112 is an abundant number, since it is smaller than the sum of its proper divisors (2509397606908).

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

1332310010112 is a wasteful number, since it uses less digits than its factorization.

1332310010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49608 (or 49591 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1332310010112 its reverse (2110100132331), we get a palindrome (3442410142443).

The spelling of 1332310010112 in words is "one trillion, three hundred thirty-two billion, three hundred ten million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 18757 30829 37514 56271 61658 75028 92487 112542 123316 150056 168813 184974 225084 246632 277461 300112 337626 369948 450168 493264 554922 600224 675252 739896 900336 986528 1109844 1200448 1350504 1479792 1800672 1973056 2219688 2400896 2701008 2959584 3601344 3946112 4439376 4801792 5402016 5919168 7202688 7892224 8878752 10804032 11838336 14405376 17757504 21608064 23676672 35515008 43216128 71030016 578259553 1156519106 1734778659 2313038212 3469557318 4626076424 5204335977 6939114636 9252152848 10408671954 13878229272 18504305696 20817343908 27756458544 37008611392 41634687816 55512917088 74017222784 83269375632 111025834176 148034445568 166538751264 222051668352 333077502528 444103336704 666155005056 1332310010112