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1020132012000 = 2535385011001
BaseRepresentation
bin11101101100001001001…
…10110010111111100000
310121112010202100121011010
432312010212302333200
5113203212243341000
62100350413220520
7133462552013403
oct16660446627740
93545122317133
101020132012000
113636a9a20542
12145860191740
137527611498a
1437536093d3a
151b808dabd50
hexed849b2fe0

1020132012000 has 96 divisors (see below), whose sum is σ = 3341952510624. Its totient is φ = 272035200000.

The previous prime is 1020132011887. The next prime is 1020132012017. The reversal of 1020132012000 is 2102310201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42493501 + ... + 42517500.

It is an arithmetic number, because the mean of its divisors is an integer number (34812005319).

Almost surely, 21020132012000 is an apocalyptic number.

1020132012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020132012000 is an abundant number, since it is smaller than the sum of its proper divisors (2321820498624).

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

1020132012000 is an equidigital number, since it uses as much as digits as its factorization.

1020132012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85011029 (or 85011011 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1020132012000 its reverse (2102310201), we get a palindrome (1022234322201).

The spelling of 1020132012000 in words is "one trillion, twenty billion, one hundred thirty-two million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 85011001 170022002 255033003 340044004 425055005 510066006 680088008 850110010 1020132012 1275165015 1360176016 1700220020 2040264024 2125275025 2550330030 2720352032 3400440040 4080528048 4250550050 5100660060 6375825075 6800880080 8161056096 8501100100 10201320120 10626375125 12751650150 13601760160 17002200200 20402640240 21252750250 25503300300 31879125375 34004400400 40805280480 42505500500 51006600600 63758250750 68008800800 85011001000 102013201200 127516501500 170022002000 204026402400 255033003000 340044004000 510066006000 1020132012000