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31003130231221 = 1729124015071097
BaseRepresentation
bin1110000110010011110101…
…00100000111100110110101
311001202212111110012101221211
413003021322210013212311
513030423402314344341
6145534350313241421
76346621316563621
oct703117244074665
9131685443171854
1031003130231221
119973398846aa5
123588745703271
13143b7760890c5
147927b941a181
1538b6e125b181
hex1c327a9079b5

31003130231221 has 16 divisors (see below), whose sum is σ = 33961548993840. Its totient is φ = 28170952499200.

The previous prime is 31003130231207. The next prime is 31003130231257. The reversal of 31003130231221 is 12213203130013.

It can be written as a sum of positive squares in 8 ways, for example, as 6141797410225 + 24861332820996 = 2478265^2 + 4986114^2 .

It is a cyclic number.

It is not a de Polignac number, because 31003130231221 - 211 = 31003130229173 is a prime.

It is a super-2 number, since 2×310031302312212 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31003130231192 and 31003130231201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31003131231221) 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 15 ways as a sum of consecutive naturals, for example, 3578145 + ... + 8649241.

It is an arithmetic number, because the mean of its divisors is an integer number (2122596812115).

Almost surely, 231003130231221 is an apocalyptic number.

It is an amenable number.

31003130231221 is a deficient number, since it is larger than the sum of its proper divisors (2958418762619).

31003130231221 is a wasteful number, since it uses less digits than its factorization.

31003130231221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083544.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 31003130231221 its reverse (12213203130013), we get a palindrome (43216333361234).

The spelling of 31003130231221 in words is "thirty-one trillion, three billion, one hundred thirty million, two hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 17 29 493 12401 210817 359629 5071097 6113693 86208649 147061813 2500050821 62886673897 1069073456249 1823713543013 31003130231221