Search a number
-
+
2021941596100 = 2252891092717691
BaseRepresentation
bin11101011011000101000…
…111000100111111000100
321011021222120211102100111
4131123011013010333010
5231111414022033400
64144511145322404
7266036411665006
oct35330507047704
97137876742314
102021941596100
1170a556356788
12287a48196404
1311888c277a2a
146dc1098a376
15378de4213ba
hex1d6c51c4fc4

2021941596100 has 144 divisors (see below), whose sum is σ = 4494724819200. Its totient is φ = 789326208000.

The previous prime is 2021941596089. The next prime is 2021941596107. The reversal of 2021941596100 is 16951491202.

It is not an unprimeable number, because it can be changed into a prime (2021941596107) 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, 262893255 + ... + 262900945.

It is an arithmetic number, because the mean of its divisors is an integer number (31213366800).

Almost surely, 22021941596100 is an apocalyptic number.

2021941596100 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 2021941596100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247362409600).

2021941596100 is an abundant number, since it is smaller than the sum of its proper divisors (2472783223100).

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

2021941596100 is a wasteful number, since it uses less digits than its factorization.

2021941596100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8174 (or 8167 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 2021941596100 in words is "two trillion, twenty-one billion, nine hundred forty-one million, five hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 109 178 218 271 356 436 445 542 545 890 1084 1090 1355 1780 2180 2225 2710 2725 4450 5420 5450 6775 7691 8900 9701 10900 13550 15382 19402 24119 27100 29539 30764 38455 38804 48238 48505 59078 76910 96476 97010 118156 120595 147695 153820 192275 194020 241190 242525 295390 384550 482380 485050 590780 602975 684499 738475 769100 838319 970100 1205950 1368998 1476950 1676638 2084261 2411900 2628971 2737996 2953900 3353276 3422495 4168522 4191595 5257942 6844990 8337044 8383190 10421305 10515884 13144855 13689980 16766380 17112475 20842610 20957975 26289710 34224950 41685220 41915950 52106525 52579420 65724275 68449900 74610391 83831900 104213050 131448550 149220782 185499229 208426100 227184449 262897100 298441564 370998458 373051955 454368898 741996916 746103910 908737796 927496145 1135922245 1492207820 1854992290 1865259775 2271844490 3709984580 3730519550 4543688980 4637480725 5679611225 7461039100 9274961450 11359222450 18549922900 20219415961 22718444900 40438831922 80877663844 101097079805 202194159610 404388319220 505485399025 1010970798050 2021941596100