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21312432225441 = 3371076991047031
BaseRepresentation
bin1001101100010001011111…
…11100111011110010100001
32210110110010001020110002000
410312020233330323302201
510243140330122203231
6113154443551314213
74326525636616440
oct466105774736241
983413101213060
1021312432225441
116877608417205
1224825aa51b969
13bb79a4c58196
145397549b6d57
1526e5ba4586e6
hex13622ff3bca1

21312432225441 has 32 divisors (see below), whose sum is σ = 36084910848000. Its totient is φ = 12178407989520.

The previous prime is 21312432225397. The next prime is 21312432225443. The reversal of 21312432225441 is 14452223421312.

21312432225441 is a `hidden beast` number, since 2 + 131 + 2 + 43 + 22 + 25 + 441 = 666.

It is not a de Polignac number, because 21312432225441 - 29 = 21312432224929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21312432225396 and 21312432225405.

It is not an unprimeable number, because it can be changed into a prime (21312432225443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19831596 + ... + 20878626.

It is an arithmetic number, because the mean of its divisors is an integer number (1127653464000).

Almost surely, 221312432225441 is an apocalyptic number.

21312432225441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21312432225441 is a deficient number, since it is larger than the sum of its proper divisors (14772478622559).

21312432225441 is a wasteful number, since it uses less digits than its factorization.

21312432225441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154746 (or 1154740 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 21312432225441 its reverse (14452223421312), we get a palindrome (35764655646753).

The spelling of 21312432225441 in words is "twenty-one trillion, three hundred twelve billion, four hundred thirty-two million, two hundred twenty-five thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 107699 323097 753893 969291 1047031 2261679 2907873 3141093 6785037 7329217 9423279 20355111 21987651 28269837 65962953 197888859 112764191669 338292575007 789349341683 1014877725021 2368048025049 3044633175063 7104144075147 21312432225441