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2132005003020 = 223551992204443
BaseRepresentation
bin11111000001100101011…
…001101001111100001100
321112211002002112210200000
4133001211121221330030
5234412321240044040
64311232442204300
7310014033342204
oct37014531517414
97484062483600
102132005003020
117521a6274402
122a52441b3690
1312607c945509
1475292357404
153a6d1d91130
hex1f065669f0c

2132005003020 has 144 divisors (see below), whose sum is σ = 6740307974400. Its totient is φ = 565677452736.

The previous prime is 2132005002961. The next prime is 2132005003021. The reversal of 2132005003020 is 203005002312.

2132005003020 is a `hidden beast` number, since 2 + 132 + 0 + 0 + 500 + 30 + 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 = 2132005002984 and 2132005003002.

It is not an unprimeable number, because it can be changed into a prime (2132005003021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135082 + ... + 2069361.

Almost surely, 22132005003020 is an apocalyptic number.

2132005003020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132005003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370153987200).

2132005003020 is an abundant number, since it is smaller than the sum of its proper divisors (4608302971380).

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

2132005003020 is a wasteful number, since it uses less digits than its factorization.

2132005003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204666 (or 2204652 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The spelling of 2132005003020 in words is "two trillion, one hundred thirty-two billion, five million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 199 243 270 324 398 405 486 540 597 796 810 972 995 1194 1215 1620 1791 1990 2388 2430 2985 3582 3980 4860 5373 5970 7164 8955 10746 11940 16119 17910 21492 26865 32238 35820 48357 53730 64476 80595 96714 107460 161190 193428 241785 322380 483570 967140 2204443 4408886 6613329 8817772 11022215 13226658 19839987 22044430 26453316 33066645 39679974 44088860 59519961 66133290 79359948 99199935 119039922 132266580 178559883 198399870 238079844 297599805 357119766 396799740 438684157 535679649 595199610 714239532 877368314 892799415 1071359298 1190399220 1316052471 1754736628 1785598830 2142718596 2193420785 2632104942 2678398245 3571197660 3948157413 4386841570 5264209884 5356796490 6580262355 7896314826 8773683140 10713592980 11844472239 13160524710 15792629652 19740787065 23688944478 26321049420 35533416717 39481574130 47377888956 59222361195 71066833434 78963148260 106600250151 118444722390 142133666868 177667083585 213200500302 236889444780 355334167170 426401000604 533001250755 710668334340 1066002501510 2132005003020