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1311130210221 = 3213127697712647
BaseRepresentation
bin10011000101000101011…
…100110100111110101101
311122100020220210201022100
4103011011130310332231
5132440143313211341
62442154102405313
7163504012622016
oct23050534647655
94570226721270
101311130210221
11466057905937
12192132a30839
139683ccb2150
144765d87200d
152418b1353b6
hex13145734fad

1311130210221 has 48 divisors (see below), whose sum is σ = 2056052404224. Its totient is φ = 800318195712.

The previous prime is 1311130210219. The next prime is 1311130210261. The reversal of 1311130210221 is 1220120311131.

1311130210221 is a `hidden beast` number, since 1 + 311 + 130 + 2 + 1 + 0 + 221 = 666.

It is not a de Polignac number, because 1311130210221 - 21 = 1311130210219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1311130210194 and 1311130210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311130210261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103664920 + ... + 103677566.

It is an arithmetic number, because the mean of its divisors is an integer number (42834425088).

Almost surely, 21311130210221 is an apocalyptic number.

It is an amenable number.

1311130210221 is a deficient number, since it is larger than the sum of its proper divisors (744922194003).

1311130210221 is a wasteful number, since it uses less digits than its factorization.

1311130210221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19770 (or 19767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1311130210221 its reverse (1220120311131), we get a palindrome (2531250521352).

The spelling of 1311130210221 in words is "one trillion, three hundred eleven billion, one hundred thirty million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 127 381 1143 1651 4953 6977 12647 14859 20931 37941 62793 90701 113823 164411 272103 493233 816309 886079 1479699 1606169 2658237 4818507 7974711 11519027 14455521 20880197 34557081 62640591 88238119 103671243 187921773 264714357 794143071 1147095547 3441286641 10323859923 11206241113 33618723339 100856170017 145681134469 437043403407 1311130210221