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1310403113433 = 326117657135181
BaseRepresentation
bin10011000100011010000…
…111001011000111011001
311122021101020122101000200
4103010122013023013121
5132432201144112213
62441554010252413
7163450003453221
oct23043207130731
94567336571020
101310403113433
114658144392a7
12191b6b427109
139675547636b
14475d1083081
15241473ae273
hex1311a1cb1d9

1310403113433 has 24 divisors (see below), whose sum is σ = 1923957267336. Its totient is φ = 859225708800.

The previous prime is 1310403113417. The next prime is 1310403113447. The reversal of 1310403113433 is 3343113040131.

1310403113433 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 0 + 311 + 343 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38316888009 + 1272086225424 = 195747^2 + 1127868^2 .

It is not a de Polignac number, because 1310403113433 - 24 = 1310403113417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310403113397 and 1310403113406.

It is not an unprimeable number, because it can be changed into a prime (1310403113633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9626103 + ... + 9761283.

It is an arithmetic number, because the mean of its divisors is an integer number (80164886139).

Almost surely, 21310403113433 is an apocalyptic number.

It is an amenable number.

1310403113433 is a deficient number, since it is larger than the sum of its proper divisors (613554153903).

1310403113433 is a wasteful number, since it uses less digits than its factorization.

1310403113433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152905 (or 152902 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1310403113433 its reverse (3343113040131), we get a palindrome (4653516153564).

The spelling of 1310403113433 in words is "one trillion, three hundred ten billion, four hundred three million, one hundred thirteen thousand, four hundred thirty-three".

Divisors: 1 3 9 61 183 549 17657 52971 135181 158913 405543 1077077 1216629 3231231 8246041 9693693 24738123 74214369 2386890917 7160672751 21482018253 145600345937 436801037811 1310403113433