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32012031310020 = 22335401147834263
BaseRepresentation
bin1110100011101011000011…
…10000010011100011000100
311012100022122111120111002000
413101311201300103203010
513143441120003410040
6152030042452545300
76512535656343666
oct721654160234304
9135308574514060
1032012031310020
11a222254139163
123710190622230
1314b294c47b478
147c9567a88536
153a7a8e15e130
hex1d1d61c138c4

32012031310020 has 96 divisors (see below), whose sum is σ = 99841348535040. Its totient is φ = 8515253491200.

The previous prime is 32012031310019. The next prime is 32012031310031. The reversal of 32012031310020 is 2001313021023.

32012031310020 is a `hidden beast` number, since 320 + 1 + 2 + 0 + 31 + 310 + 0 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 32012031309975 and 32012031310002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73700592 + ... + 74133671.

It is an arithmetic number, because the mean of its divisors is an integer number (1040014047240).

Almost surely, 232012031310020 is an apocalyptic number.

32012031310020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32012031310020 is an abundant number, since it is smaller than the sum of its proper divisors (67829317225020).

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

32012031310020 is a wasteful number, since it uses less digits than its factorization.

32012031310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147834682 (or 147834674 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32012031310020 its reverse (2001313021023), we get a palindrome (34013344331043).

The spelling of 32012031310020 in words is "thirty-two trillion, twelve billion, thirty-one million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 401 540 802 1203 1604 2005 2406 3609 4010 4812 6015 7218 8020 10827 12030 14436 18045 21654 24060 36090 43308 54135 72180 108270 216540 147834263 295668526 443502789 591337052 739171315 887005578 1330508367 1478342630 1774011156 2217513945 2661016734 2956685260 3991525101 4435027890 5322033468 6652541835 7983050202 8870055780 13305083670 15966100404 19957625505 26610167340 39915251010 59281539463 79830502020 118563078926 177844618389 237126157852 296407697315 355689236778 533533855167 592815394630 711378473556 889223091945 1067067710334 1185630789260 1600601565501 1778446183890 2134135420668 2667669275835 3201203131002 3556892367780 5335338551670 6402406262004 8003007827505 10670677103340 16006015655010 32012031310020