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21002021302293 = 3233729501234721
BaseRepresentation
bin1001100011001111010100…
…00001001111000000010101
32202100202212222022201121200
410301213222001033000111
510223044114423133133
6112400110112103113
74265226444404343
oct461475201170025
982322788281550
1021002021302293
1167679a855a299
1224323ba534a99
13b94636274a25
14528708d06993
1526649dcbb913
hex1319ea04f015

21002021302293 has 24 divisors (see below), whose sum is σ = 30427432542936. Its totient is φ = 13959267840000.

The previous prime is 21002021302259. The next prime is 21002021302331. The reversal of 21002021302293 is 39220312020012.

21002021302293 is a `hidden beast` number, since 2 + 100 + 202 + 130 + 229 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2185364976804 + 18816656325489 = 1478298^2 + 4337817^2 .

It is not a de Polignac number, because 21002021302293 - 217 = 21002021171221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002021301293) 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 23 ways as a sum of consecutive naturals, for example, 89359173 + ... + 89593893.

It is an arithmetic number, because the mean of its divisors is an integer number (1267809689289).

Almost surely, 221002021302293 is an apocalyptic number.

It is an amenable number.

21002021302293 is a deficient number, since it is larger than the sum of its proper divisors (9425411240643).

21002021302293 is a wasteful number, since it uses less digits than its factorization.

21002021302293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264565 (or 264562 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 21002021302293 in words is "twenty-one trillion, two billion, twenty-one million, three hundred two thousand, two hundred ninety-three".

Divisors: 1 3 9 337 1011 3033 29501 88503 234721 265509 704163 2112489 9941837 29825511 79100977 89476533 237302931 711908793 6924504221 20773512663 62320537989 2333557922477 7000673767431 21002021302293