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1311403124031 = 371113233592129
BaseRepresentation
bin10011000101010101101…
…101111010010100111111
311122100221221100011200020
4103011111231322110333
5132441223144432111
62442241132103223
7163513535430060
oct23052555722477
94570857304606
101311403124031
1146618796a040
121921aa304b13
13968846b8300
1447687bd4567
15241a5093906
hex13155b7a53f

1311403124031 has 48 divisors (see below), whose sum is σ = 2360586159360. Its totient is φ = 628844636160.

The previous prime is 1311403123999. The next prime is 1311403124069. The reversal of 1311403124031 is 1304213041131.

It is a happy number.

It is not a de Polignac number, because 1311403124031 - 25 = 1311403123999 is a prime.

It is a super-2 number, since 2×13114031240312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311403123992 and 1311403124010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311403124071) 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, 16757026 + ... + 16835103.

It is an arithmetic number, because the mean of its divisors is an integer number (49178878320).

Almost surely, 21311403124031 is an apocalyptic number.

1311403124031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1311403124031 is a deficient number, since it is larger than the sum of its proper divisors (1049183035329).

1311403124031 is a wasteful number, since it uses less digits than its factorization.

1311403124031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33592176 (or 33592163 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1311403124031 its reverse (1304213041131), we get a palindrome (2615616165162).

The spelling of 1311403124031 in words is "one trillion, three hundred eleven billion, four hundred three million, one hundred twenty-four thousand, thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 169 231 273 429 507 1001 1183 1859 3003 3549 5577 13013 39039 33592129 100776387 235144903 369513419 436697677 705434709 1108540257 1310093031 2586593933 3056883739 4803674447 5677069801 7759781799 9170651217 14411023341 17031209403 33625721129 39739488607 62447767811 100877163387 119218465821 187343303433 437134374677 1311403124031