Search a number
-
+
21331300220020 = 22571910079795643
BaseRepresentation
bin1001101100110100101001…
…00100100111110001110100
32210112020210222200212211001
410312122110210213301310
510243443000324020040
6113211244122053044
74331064335130130
oct466322444476164
983466728625731
1021331300220020
11688460a96085a
12248619534a184
13bb96c0c5740b
1453a6247cc3c0
1526ed21b1a59a
hex136694927c74

21331300220020 has 96 divisors (see below), whose sum is σ = 53895015014400. Its totient is φ = 6927966785664.

The previous prime is 21331300220017. The next prime is 21331300220051. The reversal of 21331300220020 is 2002200313312.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 21331300220020.

It is a congruent number.

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, 26412319 + ... + 27207961.

It is an arithmetic number, because the mean of its divisors is an integer number (561406406400).

Almost surely, 221331300220020 is an apocalyptic number.

21331300220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21331300220020 is an abundant number, since it is smaller than the sum of its proper divisors (32563714794380).

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

21331300220020 is a wasteful number, since it uses less digits than its factorization.

21331300220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805757 (or 805755 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21331300220020 its reverse (2002200313312), we get a palindrome (23333500533332).

The spelling of 21331300220020 in words is "twenty-one trillion, three hundred thirty-one billion, three hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 10079 20158 40316 50395 70553 100790 141106 191501 201580 282212 352765 383002 705530 766004 795643 957505 1340507 1411060 1591286 1915010 2681014 3182572 3830020 3978215 5362028 5569501 6702535 7956430 11139002 13405070 15117217 15912860 22278004 26810140 27847505 30234434 55695010 60468868 75586085 105820519 111390020 151172170 211641038 302344340 423282076 529102595 1058205190 2116410380 8019285797 16038571594 32077143188 40096428985 56135000579 80192857970 112270001158 152366430143 160385715940 224540002316 280675002895 304732860286 561350005790 609465720572 761832150715 1066565011001 1122700011580 1523664301430 2133130022002 3047328602860 4266260044004 5332825055005 10665650110010 21331300220020