Search a number
-
+
21331300131100 = 22521956531198599
BaseRepresentation
bin1001101100110100101001…
…00100010010000100011100
32210112020210222112100211201
410312122110210102010130
510243443000313143400
6113211244120125244
74331064334306651
oct466322444220434
983466728470751
1021331300131100
11688460a8aaa73
122486195306824
13bb96c0c25abb
1453a6247a7c28
1526ed21aee06a
hex13669491211c

21331300131100 has 72 divisors (see below), whose sum is σ = 48726287568000. Its totient is φ = 8083256356800.

The previous prime is 21331300131077. The next prime is 21331300131121. The reversal of 21331300131100 is 113100313312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107309601 + ... + 107508199.

It is an arithmetic number, because the mean of its divisors is an integer number (676753994000).

Almost surely, 221331300131100 is an apocalyptic number.

21331300131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21331300131100 is an abundant number, since it is smaller than the sum of its proper divisors (27394987436900).

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

21331300131100 is a wasteful number, since it uses less digits than its factorization.

21331300131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255163 (or 255156 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 21331300131100 its reverse (113100313312), we get a palindrome (21444400444412).

The spelling of 21331300131100 in words is "twenty-one trillion, three hundred thirty-one billion, three hundred million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 56531 113062 198599 226124 282655 397198 565310 794396 992995 1074089 1130620 1413275 1985990 2148178 2826550 3773381 3971980 4296356 4964975 5370445 5653100 7546762 9929950 10740890 15093524 18866905 19859900 21481780 26852225 37733810 53704450 75467620 94334525 107408900 188669050 377338100 11227000069 22454000138 44908000276 56135000345 112270000690 213313001311 224540001380 280675001725 426626002622 561350003450 853252005244 1066565006555 1122700006900 2133130013110 4266260026220 5332825032775 10665650065550 21331300131100