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2021130302208 = 28329103188019
BaseRepresentation
bin11101011010010100110…
…000001111001100000000
321011012220001020102100120
4131122110300033030000
5231103233324132313
64144254444420240
7266010331052463
oct35322460171400
97135801212316
102021130302208
1170a17a401666
12287860547680
1311879016c384
146db74d212da
15378930b7d23
hex1d694c0f300

2021130302208 has 144 divisors (see below), whose sum is σ = 5570102764800. Its totient is φ = 649840414720.

The previous prime is 2021130302207. The next prime is 2021130302221. The reversal of 2021130302208 is 8022030311202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2021130302207) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22918423 + ... + 23006441.

It is an arithmetic number, because the mean of its divisors is an integer number (38681269200).

Almost surely, 22021130302208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021130302208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785051382400).

2021130302208 is an abundant number, since it is smaller than the sum of its proper divisors (3548972462592).

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

2021130302208 is a wasteful number, since it uses less digits than its factorization.

2021130302208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89098 (or 89084 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 2021130302208 in words is "two trillion, twenty-one billion, one hundred thirty million, three hundred two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1031 1392 1856 2062 2784 3093 3712 4124 5568 6186 7424 8248 11136 12372 16496 22272 24744 29899 32992 49488 59798 65984 88019 89697 98976 119596 131968 176038 179394 197952 239192 263936 264057 352076 358788 395904 478384 528114 704152 717576 791808 956768 1056228 1408304 1435152 1913536 2112456 2552551 2816608 2870304 3827072 4224912 5105102 5633216 5740608 7654144 7657653 8449824 10210204 11266432 11481216 15315306 16899648 20420408 22532864 22962432 30630612 33799296 40840816 61261224 67598592 81681632 90747589 122522448 163363264 181495178 245044896 272242767 326726528 362990356 490089792 544485534 653453056 725980712 980179584 1088971068 1451961424 1960359168 2177942136 2631680081 2903922848 4355884272 5263360162 5807845696 7895040243 8711768544 10526720324 11615691392 15790080486 17423537088 21053440648 23231382784 31580160972 34847074176 42106881296 63160321944 69694148352 84213762592 126320643888 168427525184 252641287776 336855050368 505282575552 673710100736 1010565151104 2021130302208