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31322221003029 = 3114783528146073
BaseRepresentation
bin1110001111100110001011…
…10110110100000100010101
311002220101010102210010100110
413013303011312310010111
513101140402034044104
6150341121340033233
76411645556441155
oct707630566640425
9132811112703313
1031322221003029
119a86752207760
12361a558532819
1314628990b7798
147a4009ba4765
15394b69934e89
hex1c7cc5db4115

31322221003029 has 64 divisors (see below), whose sum is σ = 47099476021248. Its totient is φ = 18351546470400.

The previous prime is 31322221003027. The next prime is 31322221003039. The reversal of 31322221003029 is 92030012222313.

It is a happy number.

It is not a de Polignac number, because 31322221003029 - 21 = 31322221003027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31322221002987 and 31322221003005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31322221003027) 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 63 ways as a sum of consecutive naturals, for example, 679815937 + ... + 679862009.

It is an arithmetic number, because the mean of its divisors is an integer number (735929312832).

Almost surely, 231322221003029 is an apocalyptic number.

It is an amenable number.

31322221003029 is a deficient number, since it is larger than the sum of its proper divisors (15777255018219).

31322221003029 is a wasteful number, since it uses less digits than its factorization.

31322221003029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51498.

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 31322221003029 in words is "thirty-one trillion, three hundred twenty-two billion, two hundred twenty-one million, three thousand, twenty-nine".

Divisors: 1 3 11 33 47 83 141 249 517 913 1551 2739 3901 5281 11703 15843 42911 46073 58091 128733 138219 174273 248207 438323 506803 744621 1314969 1520409 2165431 2730277 3824059 4821553 6496293 8190831 11472177 14464659 20601181 23819741 42064649 61803543 71459223 126193947 179730773 226612991 243311513 539192319 679838973 729934539 1977038503 2676426643 5931115509 8029279929 11435641111 20194855579 34306923333 60584566737 125792052221 222143411369 377376156663 666430234107 949158212213 2847474636639 10440740334343 31322221003029