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1335231252433 = 131741860917117
BaseRepresentation
bin10011011011100001111…
…111000000011111010001
311201122110120011111212101
4103123201333000133101
5133334023200034213
62501221411400401
7165316163245141
oct23334177003721
94648416144771
101335231252433
114752a5261641
1219693a2b3101
1398bb11c8480
14488a8690921
1524aebe34bdd
hex136e1fc07d1

1335231252433 has 32 divisors (see below), whose sum is σ = 1559933212320. Its totient is φ = 1131529175040.

The previous prime is 1335231252431. The next prime is 1335231252461. The reversal of 1335231252433 is 3342521325331.

It can be written as a sum of positive squares in 16 ways, for example, as 1192140789904 + 143090462529 = 1091852^2 + 378273^2 .

It is a cyclic number.

It is not a de Polignac number, because 1335231252433 - 21 = 1335231252431 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1335231252392 and 1335231252401.

It is not an unprimeable number, because it can be changed into a prime (1335231252431) 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, 77997591 + ... + 78014707.

It is an arithmetic number, because the mean of its divisors is an integer number (48747912885).

Almost surely, 21335231252433 is an apocalyptic number.

1335231252433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1335231252433 is a deficient number, since it is larger than the sum of its proper divisors (224701959887).

1335231252433 is a wasteful number, since it uses less digits than its factorization.

1335231252433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25797.

The product of its digits is 194400, while the sum is 37.

Adding to 1335231252433 its reverse (3342521325331), we get a palindrome (4677752577764).

The spelling of 1335231252433 in words is "one trillion, three hundred thirty-five billion, two hundred thirty-one million, two hundred fifty-two thousand, four hundred thirty-three".

Divisors: 1 13 17 41 221 533 697 8609 9061 17117 111917 146353 222521 290989 352969 701797 1902589 3782857 4588597 6000473 9123361 11930549 78006149 147360253 155097137 1915683289 2505124301 6041770373 32566615913 78543014849 102710096341 1335231252433