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1303142331 = 33766117761
BaseRepresentation
bin100110110101100…
…0101111110111011
310100211002111012210
41031223011332323
510132101023311
6333150510203
744202345531
oct11553057673
93324074183
101303142331
11609654137
12304505363
13179c9834a
14c50dc151
15796113a6
hex4dac5fbb

1303142331 has 16 divisors (see below), whose sum is σ = 1787283488. Its totient is φ = 843955200.

The previous prime is 1303142297. The next prime is 1303142333. The reversal of 1303142331 is 1332413031.

It is not a de Polignac number, because 1303142331 - 213 = 1303134139 is a prime.

It is a super-2 number, since 2×13031423312 = 3396359869688227122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1303142298 and 1303142307.

It is not an unprimeable number, because it can be changed into a prime (1303142333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64491 + ... + 82251.

It is an arithmetic number, because the mean of its divisors is an integer number (111705218).

Almost surely, 21303142331 is an apocalyptic number.

1303142331 is a deficient number, since it is larger than the sum of its proper divisors (484141157).

1303142331 is a wasteful number, since it uses less digits than its factorization.

1303142331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18462.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 1303142331 is about 36099.0627440658. The cubic root of 1303142331 is about 1092.2715389952.

Adding to 1303142331 its reverse (1332413031), we get a palindrome (2635555362).

The spelling of 1303142331 in words is "one billion, three hundred three million, one hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 37 111 661 1983 17761 24457 53283 73371 657157 1971471 11740021 35220063 434380777 1303142331