Search a number
-
+
21420132001000 = 2353232333997039
BaseRepresentation
bin1001101111011010000110…
…10110111110010011101000
32210211202002211100220201021
410313231003112332103220
510301421412243013000
6113320134531302224
74340360560612255
oct467550326762350
983752084326637
1021420132001000
116909255102687
12249b446a4a974
13bc4ba9a31a25
14540a504b042c
152722c063811a
hex137b435be4e8

21420132001000 has 128 divisors (see below), whose sum is σ = 52526861337600. Its totient is φ = 8160352780800.

The previous prime is 21420132000997. The next prime is 21420132001033. The reversal of 21420132001000 is 10023102412.

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, 3360481 + ... + 7357519.

It is an arithmetic number, because the mean of its divisors is an integer number (410366104200).

Almost surely, 221420132001000 is an apocalyptic number.

21420132001000 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 21420132001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26263430668800).

21420132001000 is an abundant number, since it is smaller than the sum of its proper divisors (31106729336600).

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

21420132001000 is a wasteful number, since it uses less digits than its factorization.

21420132001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997316 (or 3997302 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21420132001000 its reverse (10023102412), we get a palindrome (21430155103412).

The spelling of 21420132001000 in words is "twenty-one trillion, four hundred twenty billion, one hundred thirty-two million, one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 233 250 460 466 500 575 920 932 1000 1150 1165 1864 2300 2330 2875 4600 4660 5359 5750 5825 9320 10718 11500 11650 21436 23000 23300 26795 29125 42872 46600 53590 58250 107180 116500 133975 214360 233000 267950 535900 669875 1071800 1339750 2679500 3997039 5359000 7994078 15988156 19985195 31976312 39970390 79940780 91931897 99925975 159881560 183863794 199851950 367727588 399703900 459659485 499629875 735455176 799407800 919318970 931310087 999259750 1838637940 1862620174 1998519500 2298297425 3677275880 3725240348 3997039000 4596594850 4656550435 7450480696 9193189700 9313100870 11491487125 18386379400 18626201740 21420132001 22982974250 23282752175 37252403480 42840264002 45965948500 46565504350 85680528004 91931897000 93131008700 107100660005 116413760875 171361056008 186262017400 214201320010 232827521750 428402640020 465655043500 535503300025 856805280040 931310087000 1071006600050 2142013200100 2677516500125 4284026400200 5355033000250 10710066000500 21420132001000