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2202121320031 = 127206923393583
BaseRepresentation
bin100000000010111000101…
…010001011011001011111
321210112001121202202111001
4200002320222023121133
5242034421024220111
64403350210211131
7315045422243413
oct40027052133137
97715047682431
102202121320031
11779a07092136
122b6951b83aa7
1312c8751c75a9
14788245aad43
153c4377cb1c1
hex200b8a8b65f

2202121320031 has 16 divisors (see below), whose sum is σ = 2222102937600. Its totient is φ = 2182182998688.

The previous prime is 2202121320013. The next prime is 2202121320121. The reversal of 2202121320031 is 1300231212022.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2202121320031 is a prime.

It is a super-2 number, since 2×22021213200312 (a number of 25 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 = 2202121319990 and 2202121320008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202121320431) 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 15 ways as a sum of consecutive naturals, for example, 614600866 + ... + 614604448.

It is an arithmetic number, because the mean of its divisors is an integer number (138881433600).

Almost surely, 22202121320031 is an apocalyptic number.

2202121320031 is a deficient number, since it is larger than the sum of its proper divisors (19981617569).

2202121320031 is a wasteful number, since it uses less digits than its factorization.

2202121320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2202121320031 its reverse (1300231212022), we get a palindrome (3502352532053).

The spelling of 2202121320031 in words is "two trillion, two hundred two billion, one hundred twenty-one million, three hundred twenty thousand, thirty-one".

Divisors: 1 127 2069 2339 3583 262763 297053 455041 4839391 7413227 8380637 614602657 941479829 1064340899 17339537953 2202121320031