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20005225735341 = 3711127681911093
BaseRepresentation
bin1001000110001110101000…
…10111111010010010101101
32121211110222120121100220010
410203013110113322102231
510110231200242012331
6110314135051443433
74133221100030610
oct443072427722255
977743876540803
1020005225735341
116413194435380
1222b1191756579
13b2163bb3a722
144d23882c0177
1524a5ada2be46
hex1231d45fa4ad

20005225735341 has 32 divisors (see below), whose sum is σ = 33517294092288. Its totient is φ = 10310495711040.

The previous prime is 20005225735333. The next prime is 20005225735349. The reversal of 20005225735341 is 14353752250002.

It is an interprime number because it is at equal distance from previous prime (20005225735333) and next prime (20005225735349).

It is not a de Polignac number, because 20005225735341 - 23 = 20005225735333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20005225735341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005225735349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340926210 + ... + 340984883.

It is an arithmetic number, because the mean of its divisors is an integer number (1047415440384).

Almost surely, 220005225735341 is an apocalyptic number.

20005225735341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20005225735341 is a deficient number, since it is larger than the sum of its proper divisors (13512068356947).

20005225735341 is a wasteful number, since it uses less digits than its factorization.

20005225735341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681911241.

The product of its (nonzero) digits is 252000, while the sum is 39.

Adding to 20005225735341 its reverse (14353752250002), we get a palindrome (34358977985343).

The spelling of 20005225735341 in words is "twenty trillion, five billion, two hundred twenty-five million, seven hundred thirty-five thousand, three hundred forty-one".

Divisors: 1 3 7 11 21 33 77 127 231 381 889 1397 2667 4191 9779 29337 681911093 2045733279 4773377651 7501022023 14320132953 22503066069 52507154161 86602708811 157521462483 259808126433 606218961677 952629796921 1818656885031 2857889390763 6668408578447 20005225735341