Search a number
-
+
20000121122020 = 22513174524914281
BaseRepresentation
bin1001000110000101001000…
…00111010110110011100100
32121210222210211101010211111
410203002210013112303210
510110140222001401040
6110311532342114404
74132650434365204
oct443024407266344
977728724333744
1020000121122020
116411004a75886
1222b01a811ba04
13b21007411580
144d202238a404
1524a3b080ddea
hex1230a41d6ce4

20000121122020 has 48 divisors (see below), whose sum is σ = 47891692760688. Its totient is φ = 6950268334080.

The previous prime is 20000121121927. The next prime is 20000121122077. The reversal of 20000121122020 is 2022112100002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 791658621504 + 19208462500516 = 889752^2 + 4382746^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262452721 + ... + 2262461560.

It is an arithmetic number, because the mean of its divisors is an integer number (997743599181).

Almost surely, 220000121122020 is an apocalyptic number.

20000121122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000121122020 is an abundant number, since it is smaller than the sum of its proper divisors (27891571638668).

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

20000121122020 is a wasteful number, since it uses less digits than its factorization.

20000121122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524914320 (or 4524914318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20000121122020 its reverse (2022112100002), we get a palindrome (22022233222022).

The spelling of 20000121122020 in words is "twenty trillion, one hundred twenty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 4524914281 9049828562 18099657124 22624571405 45249142810 58823885653 76923542777 90498285620 117647771306 153847085554 235295542612 294119428265 307694171108 384617713885 588238856530 769235427770 1000006056101 1176477713060 1538470855540 2000012112202 4000024224404 5000030280505 10000060561010 20000121122020