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1032132002112 = 26321819899977
BaseRepresentation
bin11110000010011111101…
…11001000000101000000
310122200010001110020221100
433001033313020011000
5113402301243031422
62110053242454400
7134366123156331
oct17011767100500
93580101406840
101032132002112
113687a7675742
1214804ab04400
1376439274b43
1437d53aac288
151bcac6297ac
hexf04fdc8140

1032132002112 has 84 divisors (see below), whose sum is σ = 2974765189396. Its totient is φ = 342143170560.

The previous prime is 1032132002089. The next prime is 1032132002137. The reversal of 1032132002112 is 2112002312301.

1032132002112 is a `hidden beast` number, since 1 + 0 + 321 + 320 + 0 + 21 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 499430543616 + 532701458496 = 706704^2 + 729864^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4845733 + ... + 5054244.

Almost surely, 21032132002112 is an apocalyptic number.

1032132002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1032132002112 is an abundant number, since it is smaller than the sum of its proper divisors (1942633187284).

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

1032132002112 is a wasteful number, since it uses less digits than its factorization.

1032132002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9900176 (or 9900163 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1032132002112 its reverse (2112002312301), we get a palindrome (3144134314413).

The spelling of 1032132002112 in words is "one trillion, thirty-two billion, one hundred thirty-two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 288 362 543 576 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 26064 34752 52128 104256 9899977 19799954 29699931 39599908 59399862 79199816 89099793 118799724 158399632 178199586 237599448 316799264 356399172 475198896 633598528 712798344 950397792 1425596688 1791895837 1900795584 2851193376 3583791674 5375687511 5702386752 7167583348 10751375022 14335166696 16127062533 21502750044 28670333392 32254125066 43005500088 57340666784 64508250132 86011000176 114681333568 129016500264 172022000352 258033000528 344044000704 516066001056 1032132002112