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20434434201225 = 32521163907129193
BaseRepresentation
bin1001010010101110000110…
…01100010001011010001001
32200100111211212001112120200
410221113003030101122021
510134244210123414400
6111243241030442413
74206224220554052
oct451270314213211
980314755045520
1020434434201225
116569216422480
1223603b6803409
13b52c60863475
14509063727729
1525682e7eab00
hex1295c3311689

20434434201225 has 72 divisors (see below), whose sum is σ = 39928579815072. Its totient is φ = 9907372742400.

The previous prime is 20434434201217. The next prime is 20434434201227. The reversal of 20434434201225 is 52210243443402.

20434434201225 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 4 + 4 + 3 + 420 + 1 + 225 = 666.

It is not a de Polignac number, because 20434434201225 - 23 = 20434434201217 is a prime.

It is a super-2 number, since 2×204344342012252 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20434434201225.

It is not an unprimeable number, because it can be changed into a prime (20434434201227) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 158105229 + ... + 158234421.

Almost surely, 220434434201225 is an apocalyptic number.

20434434201225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20434434201225 is a deficient number, since it is larger than the sum of its proper divisors (19494145613847).

20434434201225 is a wasteful number, since it uses less digits than its factorization.

20434434201225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193127 (or 193119 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 20434434201225 its reverse (52210243443402), we get a palindrome (72644677644627).

The spelling of 20434434201225 in words is "twenty trillion, four hundred thirty-four billion, four hundred thirty-four million, two hundred one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 63907 129193 191721 319535 387579 575163 645965 702977 958605 1162737 1421123 1597675 1937895 2108931 2875815 3229825 3514885 4263369 4793025 5813685 6326793 7105615 9689475 10544655 12790107 14379075 17574425 21316845 29068425 31633965 35528075 52723275 63950535 106584225 158169825 319752675 8256337051 24769011153 41281685255 74307033459 90819707561 123845055765 206408426275 272459122683 371535167295 454098537805 619225278825 817377368049 1362295613415 1857675836475 2270492689025 4086886840245 6811478067075 20434434201225