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1312131303 = 32729799091
BaseRepresentation
bin100111000110101…
…1000100011100111
310101110000011202200
41032031120203213
510141401200203
6334111305543
744341634460
oct11615304347
93343004680
101312131303
1161373373a
1230751b2b3
1317bac4972
14c639bd67
157a2d99a3
hex4e3588e7

1312131303 has 48 divisors (see below), whose sum is σ = 2269363200. Its totient is φ = 714692160.

The previous prime is 1312131277. The next prime is 1312131311. The reversal of 1312131303 is 3031312131.

It is a happy number.

1312131303 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1312131303 - 28 = 1312131047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312131343) 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, 139788 + ... + 148878.

It is an arithmetic number, because the mean of its divisors is an integer number (47278400).

Almost surely, 21312131303 is an apocalyptic number.

1312131303 is a deficient number, since it is larger than the sum of its proper divisors (957231897).

1312131303 is a wasteful number, since it uses less digits than its factorization.

1312131303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9212 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1312131303 is about 36223.3530060374. The cubic root of 1312131303 is about 1094.7772537472. Note that the first 3 decimals are identical.

Adding to 1312131303 its reverse (3031312131), we get a palindrome (4343443434).

The spelling of 1312131303 in words is "one billion, three hundred twelve million, one hundred thirty-one thousand, three hundred three".

Divisors: 1 3 7 9 21 29 63 79 87 203 237 261 553 609 711 1659 1827 2291 4977 6873 9091 16037 20619 27273 48111 63637 81819 144333 190911 263639 572733 718189 790917 1845473 2154567 2372751 5027323 5536419 6463701 15081969 16609257 20827481 45245907 62482443 145792367 187447329 437377101 1312131303