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1302132222131 = 131941612107873
BaseRepresentation
bin10010111100101101001…
…000001110100010110011
311121111000211111120010012
4102330231020032202303
5132313231322102011
62434105152325135
7163035023160416
oct22745510164263
94544024446105
101302132222131
1146225a769244
121904415437ab
1395a37a87840
1447048821b7d
1523d11204a8b
hex12f2d20e8b3

1302132222131 has 32 divisors (see below), whose sum is σ = 1536893090880. Its totient is φ = 1092720844800.

The previous prime is 1302132222109. The next prime is 1302132222133. The reversal of 1302132222131 is 1312222312031.

It is a de Polignac number, because none of the positive numbers 2k-1302132222131 is a prime.

It is a super-3 number, since 3×13021322221313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1302132222097 and 1302132222106.

It is not an unprimeable number, because it can be changed into a prime (1302132222133) 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, 436190 + ... + 1671683.

It is an arithmetic number, because the mean of its divisors is an integer number (48027909090).

Almost surely, 21302132222131 is an apocalyptic number.

1302132222131 is a deficient number, since it is larger than the sum of its proper divisors (234760868749).

1302132222131 is a wasteful number, since it uses less digits than its factorization.

1302132222131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108007.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1302132222131 its reverse (1312222312031), we get a palindrome (2614354534162).

The spelling of 1302132222131 in words is "one trillion, three hundred two billion, one hundred thirty-two million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 13 19 41 61 247 533 779 793 1159 2501 10127 15067 32513 47519 617747 2107873 27402349 40049587 86422793 128580253 520644631 1123496309 1642033067 1671543289 2443024807 5271790373 21346429871 31759322491 68533274849 100164017087 1302132222131